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Finding the Third Proportional to 344,698 and 514,981

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Solution

The third proportional to 344,698 and 514,981 is: 769,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,698 : 514,981 = 514,981 : x
  2. Step 2: Convert to fraction form
    344,698/514,981 = 514,981/x
  3. Step 3: Cross multiply
    344,698x = 514,981 × 514,981
  4. Step 4: Simplify right side
    344,698x = 265,205,430,361
  5. Step 5: Solve for x
    x = 265,205,430,361/344,698
  6. Step 6: Final answer
    x = 769,384.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.