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Finding the Third Proportional to 70,687 and 152,445

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Solution

The third proportional to 70,687 and 152,445 is: 328,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,687 : 152,445 = 152,445 : x
  2. Step 2: Convert to fraction form
    70,687/152,445 = 152,445/x
  3. Step 3: Cross multiply
    70,687x = 152,445 × 152,445
  4. Step 4: Simplify right side
    70,687x = 23,239,478,025
  5. Step 5: Solve for x
    x = 23,239,478,025/70,687
  6. Step 6: Final answer
    x = 328,765.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.