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Finding the Third Proportional to 310,802 and 686,950

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Solution

The third proportional to 310,802 and 686,950 is: 1,518,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,802 : 686,950 = 686,950 : x
  2. Step 2: Convert to fraction form
    310,802/686,950 = 686,950/x
  3. Step 3: Cross multiply
    310,802x = 686,950 × 686,950
  4. Step 4: Simplify right side
    310,802x = 471,900,302,500
  5. Step 5: Solve for x
    x = 471,900,302,500/310,802
  6. Step 6: Final answer
    x = 1,518,330.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.