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Finding the Third Proportional to 66,130,564 and 140,128,136

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Solution

The third proportional to 66,130,564 and 140,128,136 is: 296,926,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,130,564 : 140,128,136 = 140,128,136 : x
  2. Step 2: Convert to fraction form
    66,130,564/140,128,136 = 140,128,136/x
  3. Step 3: Cross multiply
    66,130,564x = 140,128,136 × 140,128,136
  4. Step 4: Simplify right side
    66,130,564x = 19,635,894,498,834,496
  5. Step 5: Solve for x
    x = 19,635,894,498,834,496/66,130,564
  6. Step 6: Final answer
    x = 296,926,161.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.