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Finding the Third Proportional to 70,491 and 147,902

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Solution

The third proportional to 70,491 and 147,902 is: 310,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,491 : 147,902 = 147,902 : x
  2. Step 2: Convert to fraction form
    70,491/147,902 = 147,902/x
  3. Step 3: Cross multiply
    70,491x = 147,902 × 147,902
  4. Step 4: Simplify right side
    70,491x = 21,875,001,604
  5. Step 5: Solve for x
    x = 21,875,001,604/70,491
  6. Step 6: Final answer
    x = 310,323.33

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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.