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Finding the Third Proportional to 145,708 and 221,588

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Solution

The third proportional to 145,708 and 221,588 is: 336,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,708 : 221,588 = 221,588 : x
  2. Step 2: Convert to fraction form
    145,708/221,588 = 221,588/x
  3. Step 3: Cross multiply
    145,708x = 221,588 × 221,588
  4. Step 4: Simplify right side
    145,708x = 49,101,241,744
  5. Step 5: Solve for x
    x = 49,101,241,744/145,708
  6. Step 6: Final answer
    x = 336,983.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.