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Finding the Third Proportional to 502,376,028 and 678,541,188

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Solution

The third proportional to 502,376,028 and 678,541,188 is: 916,481,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,376,028 : 678,541,188 = 678,541,188 : x
  2. Step 2: Convert to fraction form
    502,376,028/678,541,188 = 678,541,188/x
  3. Step 3: Cross multiply
    502,376,028x = 678,541,188 × 678,541,188
  4. Step 4: Simplify right side
    502,376,028x = 460,418,143,812,451,328
  5. Step 5: Solve for x
    x = 460,418,143,812,451,328/502,376,028
  6. Step 6: Final answer
    x = 916,481,118.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.