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Finding the Third Proportional to 151,438 and 318,560

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Solution

The third proportional to 151,438 and 318,560 is: 670,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,438 : 318,560 = 318,560 : x
  2. Step 2: Convert to fraction form
    151,438/318,560 = 318,560/x
  3. Step 3: Cross multiply
    151,438x = 318,560 × 318,560
  4. Step 4: Simplify right side
    151,438x = 101,480,473,600
  5. Step 5: Solve for x
    x = 101,480,473,600/151,438
  6. Step 6: Final answer
    x = 670,112.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.