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Finding the Third Proportional to 309,418 and 492,344

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Solution

The third proportional to 309,418 and 492,344 is: 783,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,418 : 492,344 = 492,344 : x
  2. Step 2: Convert to fraction form
    309,418/492,344 = 492,344/x
  3. Step 3: Cross multiply
    309,418x = 492,344 × 492,344
  4. Step 4: Simplify right side
    309,418x = 242,402,614,336
  5. Step 5: Solve for x
    x = 242,402,614,336/309,418
  6. Step 6: Final answer
    x = 783,414.72

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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.