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Finding the Third Proportional to 316,764 and 638,712

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Solution

The third proportional to 316,764 and 638,712 is: 1,287,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,764 : 638,712 = 638,712 : x
  2. Step 2: Convert to fraction form
    316,764/638,712 = 638,712/x
  3. Step 3: Cross multiply
    316,764x = 638,712 × 638,712
  4. Step 4: Simplify right side
    316,764x = 407,953,018,944
  5. Step 5: Solve for x
    x = 407,953,018,944/316,764
  6. Step 6: Final answer
    x = 1,287,876.84

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.