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Finding the Third Proportional to 58,580 and 90,771

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Solution

The third proportional to 58,580 and 90,771 is: 140,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,580 : 90,771 = 90,771 : x
  2. Step 2: Convert to fraction form
    58,580/90,771 = 90,771/x
  3. Step 3: Cross multiply
    58,580x = 90,771 × 90,771
  4. Step 4: Simplify right side
    58,580x = 8,239,374,441
  5. Step 5: Solve for x
    x = 8,239,374,441/58,580
  6. Step 6: Final answer
    x = 140,651.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.