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Finding the Third Proportional to 316,764 and 683,424

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Solution

The third proportional to 316,764 and 683,424 is: 1,474,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,764 : 683,424 = 683,424 : x
  2. Step 2: Convert to fraction form
    316,764/683,424 = 683,424/x
  3. Step 3: Cross multiply
    316,764x = 683,424 × 683,424
  4. Step 4: Simplify right side
    316,764x = 467,068,363,776
  5. Step 5: Solve for x
    x = 467,068,363,776/316,764
  6. Step 6: Final answer
    x = 1,474,499.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.