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Finding the Third Proportional to 338,545 and 514,466

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Solution

The third proportional to 338,545 and 514,466 is: 781,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,545 : 514,466 = 514,466 : x
  2. Step 2: Convert to fraction form
    338,545/514,466 = 514,466/x
  3. Step 3: Cross multiply
    338,545x = 514,466 × 514,466
  4. Step 4: Simplify right side
    338,545x = 264,675,265,156
  5. Step 5: Solve for x
    x = 264,675,265,156/338,545
  6. Step 6: Final answer
    x = 781,802.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.