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Finding the Third Proportional to 447,292 and 692,320

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Solution

The third proportional to 447,292 and 692,320 is: 1,071,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,292 : 692,320 = 692,320 : x
  2. Step 2: Convert to fraction form
    447,292/692,320 = 692,320/x
  3. Step 3: Cross multiply
    447,292x = 692,320 × 692,320
  4. Step 4: Simplify right side
    447,292x = 479,306,982,400
  5. Step 5: Solve for x
    x = 479,306,982,400/447,292
  6. Step 6: Final answer
    x = 1,071,575.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.