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Finding the Third Proportional to 61,712 and 145,580

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Solution

The third proportional to 61,712 and 145,580 is: 343,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,712 : 145,580 = 145,580 : x
  2. Step 2: Convert to fraction form
    61,712/145,580 = 145,580/x
  3. Step 3: Cross multiply
    61,712x = 145,580 × 145,580
  4. Step 4: Simplify right side
    61,712x = 21,193,536,400
  5. Step 5: Solve for x
    x = 21,193,536,400/61,712
  6. Step 6: Final answer
    x = 343,426.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.