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Finding the Third Proportional to 286,272 and 420,656

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Solution

The third proportional to 286,272 and 420,656 is: 618,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,272 : 420,656 = 420,656 : x
  2. Step 2: Convert to fraction form
    286,272/420,656 = 420,656/x
  3. Step 3: Cross multiply
    286,272x = 420,656 × 420,656
  4. Step 4: Simplify right side
    286,272x = 176,951,470,336
  5. Step 5: Solve for x
    x = 176,951,470,336/286,272
  6. Step 6: Final answer
    x = 618,123.57

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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.