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Finding the Third Proportional to 58,600 and 90,813

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Solution

The third proportional to 58,600 and 90,813 is: 140,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,600 : 90,813 = 90,813 : x
  2. Step 2: Convert to fraction form
    58,600/90,813 = 90,813/x
  3. Step 3: Cross multiply
    58,600x = 90,813 × 90,813
  4. Step 4: Simplify right side
    58,600x = 8,247,000,969
  5. Step 5: Solve for x
    x = 8,247,000,969/58,600
  6. Step 6: Final answer
    x = 140,733.80

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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.