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Finding the Third Proportional to 317,952 and 698,112

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Solution

The third proportional to 317,952 and 698,112 is: 1,532,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,952 : 698,112 = 698,112 : x
  2. Step 2: Convert to fraction form
    317,952/698,112 = 698,112/x
  3. Step 3: Cross multiply
    317,952x = 698,112 × 698,112
  4. Step 4: Simplify right side
    317,952x = 487,360,364,544
  5. Step 5: Solve for x
    x = 487,360,364,544/317,952
  6. Step 6: Final answer
    x = 1,532,811.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.