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Finding the Third Proportional to 340,915.71 and 521,753.27

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Solution

The third proportional to 340,915.71 and 521,753.27 is: 798,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,915.71 : 521,753.27 = 521,753.27 : x
  2. Step 2: Convert to fraction form
    340,915.71/521,753.27 = 521,753.27/x
  3. Step 3: Cross multiply
    340,915.71x = 521,753.27 × 521,753.27
  4. Step 4: Simplify right side
    340,915.71x = 272,226,478,342.75
  5. Step 5: Solve for x
    x = 272,226,478,342.75/340,915.71
  6. Step 6: Final answer
    x = 798,515.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.