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Finding the Third Proportional to 130,996,136,862 and 201,226,092,150

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Solution

The third proportional to 130,996,136,862 and 201,226,092,150 is: 309,107,895,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,996,136,862 : 201,226,092,150 = 201,226,092,150 : x
  2. Step 2: Convert to fraction form
    130,996,136,862/201,226,092,150 = 201,226,092,150/x
  3. Step 3: Cross multiply
    130,996,136,862x = 201,226,092,150 × 201,226,092,150
  4. Step 4: Simplify right side
    130,996,136,862x = 40,491,940,161,960,294,744,064
  5. Step 5: Solve for x
    x = 40,491,940,161,960,294,744,064/130,996,136,862
  6. Step 6: Final answer
    x = 309,107,895,331.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.