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Finding the Third Proportional to 291,486 and 428,892

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Solution

The third proportional to 291,486 and 428,892 is: 631,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,486 : 428,892 = 428,892 : x
  2. Step 2: Convert to fraction form
    291,486/428,892 = 428,892/x
  3. Step 3: Cross multiply
    291,486x = 428,892 × 428,892
  4. Step 4: Simplify right side
    291,486x = 183,948,347,664
  5. Step 5: Solve for x
    x = 183,948,347,664/291,486
  6. Step 6: Final answer
    x = 631,070.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.