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Finding the Third Proportional to 76,890 and 103,459.50

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Solution

The third proportional to 76,890 and 103,459.50 is: 139,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,890 : 103,459.50 = 103,459.50 : x
  2. Step 2: Convert to fraction form
    76,890/103,459.50 = 103,459.50/x
  3. Step 3: Cross multiply
    76,890x = 103,459.50 × 103,459.50
  4. Step 4: Simplify right side
    76,890x = 10,703,868,140.25
  5. Step 5: Solve for x
    x = 10,703,868,140.25/76,890
  6. Step 6: Final answer
    x = 139,210.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.