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Finding the Third Proportional to 356,870 and 512,948

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Solution

The third proportional to 356,870 and 512,948 is: 737,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,870 : 512,948 = 512,948 : x
  2. Step 2: Convert to fraction form
    356,870/512,948 = 512,948/x
  3. Step 3: Cross multiply
    356,870x = 512,948 × 512,948
  4. Step 4: Simplify right side
    356,870x = 263,115,650,704
  5. Step 5: Solve for x
    x = 263,115,650,704/356,870
  6. Step 6: Final answer
    x = 737,287.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.