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Finding the Third Proportional to 356,918 and 521,948

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Solution

The third proportional to 356,918 and 521,948 is: 763,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,918 : 521,948 = 521,948 : x
  2. Step 2: Convert to fraction form
    356,918/521,948 = 521,948/x
  3. Step 3: Cross multiply
    356,918x = 521,948 × 521,948
  4. Step 4: Simplify right side
    356,918x = 272,429,714,704
  5. Step 5: Solve for x
    x = 272,429,714,704/356,918
  6. Step 6: Final answer
    x = 763,283.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.