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Finding the Third Proportional to 97,990 and 147,117

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Solution

The third proportional to 97,990 and 147,117 is: 220,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,990 : 147,117 = 147,117 : x
  2. Step 2: Convert to fraction form
    97,990/147,117 = 147,117/x
  3. Step 3: Cross multiply
    97,990x = 147,117 × 147,117
  4. Step 4: Simplify right side
    97,990x = 21,643,411,689
  5. Step 5: Solve for x
    x = 21,643,411,689/97,990
  6. Step 6: Final answer
    x = 220,873.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.