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Finding the Third Proportional to 77,646.75 and 109,885.50

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Solution

The third proportional to 77,646.75 and 109,885.50 is: 155,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,646.75 : 109,885.50 = 109,885.50 : x
  2. Step 2: Convert to fraction form
    77,646.75/109,885.50 = 109,885.50/x
  3. Step 3: Cross multiply
    77,646.75x = 109,885.50 × 109,885.50
  4. Step 4: Simplify right side
    77,646.75x = 12,074,823,110.25
  5. Step 5: Solve for x
    x = 12,074,823,110.25/77,646.75
  6. Step 6: Final answer
    x = 155,509.70

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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.