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Finding the Third Proportional to 145,597 and 318,344

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Solution

The third proportional to 145,597 and 318,344 is: 696,050.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,597 : 318,344 = 318,344 : x
  2. Step 2: Convert to fraction form
    145,597/318,344 = 318,344/x
  3. Step 3: Cross multiply
    145,597x = 318,344 × 318,344
  4. Step 4: Simplify right side
    145,597x = 101,342,902,336
  5. Step 5: Solve for x
    x = 101,342,902,336/145,597
  6. Step 6: Final answer
    x = 696,050.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.