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Finding the Third Proportional to 386,552 and 614,964

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Solution

The third proportional to 386,552 and 614,964 is: 978,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,552 : 614,964 = 614,964 : x
  2. Step 2: Convert to fraction form
    386,552/614,964 = 614,964/x
  3. Step 3: Cross multiply
    386,552x = 614,964 × 614,964
  4. Step 4: Simplify right side
    386,552x = 378,180,721,296
  5. Step 5: Solve for x
    x = 378,180,721,296/386,552
  6. Step 6: Final answer
    x = 978,343.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.