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Finding the Third Proportional to 403,964 and 614,340

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Solution

The third proportional to 403,964 and 614,340 is: 934,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,964 : 614,340 = 614,340 : x
  2. Step 2: Convert to fraction form
    403,964/614,340 = 614,340/x
  3. Step 3: Cross multiply
    403,964x = 614,340 × 614,340
  4. Step 4: Simplify right side
    403,964x = 377,413,635,600
  5. Step 5: Solve for x
    x = 377,413,635,600/403,964
  6. Step 6: Final answer
    x = 934,275.42

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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.