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Finding the Third Proportional to 318,581 and 695,118

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Solution

The third proportional to 318,581 and 695,118 is: 1,516,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,581 : 695,118 = 695,118 : x
  2. Step 2: Convert to fraction form
    318,581/695,118 = 695,118/x
  3. Step 3: Cross multiply
    318,581x = 695,118 × 695,118
  4. Step 4: Simplify right side
    318,581x = 483,189,033,924
  5. Step 5: Solve for x
    x = 483,189,033,924/318,581
  6. Step 6: Final answer
    x = 1,516,691.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.