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Finding the Third Proportional to 68,870 and 97,484

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Solution

The third proportional to 68,870 and 97,484 is: 137,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,870 : 97,484 = 97,484 : x
  2. Step 2: Convert to fraction form
    68,870/97,484 = 97,484/x
  3. Step 3: Cross multiply
    68,870x = 97,484 × 97,484
  4. Step 4: Simplify right side
    68,870x = 9,503,130,256
  5. Step 5: Solve for x
    x = 9,503,130,256/68,870
  6. Step 6: Final answer
    x = 137,986.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.