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Finding the Third Proportional to 286,097 and 420,387

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Solution

The third proportional to 286,097 and 420,387 is: 617,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,097 : 420,387 = 420,387 : x
  2. Step 2: Convert to fraction form
    286,097/420,387 = 420,387/x
  3. Step 3: Cross multiply
    286,097x = 420,387 × 420,387
  4. Step 4: Simplify right side
    286,097x = 176,725,229,769
  5. Step 5: Solve for x
    x = 176,725,229,769/286,097
  6. Step 6: Final answer
    x = 617,710.88

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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.