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Finding the Third Proportional to 316,634 and 672,130

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Solution

The third proportional to 316,634 and 672,130 is: 1,426,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,634 : 672,130 = 672,130 : x
  2. Step 2: Convert to fraction form
    316,634/672,130 = 672,130/x
  3. Step 3: Cross multiply
    316,634x = 672,130 × 672,130
  4. Step 4: Simplify right side
    316,634x = 451,758,736,900
  5. Step 5: Solve for x
    x = 451,758,736,900/316,634
  6. Step 6: Final answer
    x = 1,426,753.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.