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Finding the Third Proportional to 77,981.25 and 111,430.75

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Solution

The third proportional to 77,981.25 and 111,430.75 is: 159,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,981.25 : 111,430.75 = 111,430.75 : x
  2. Step 2: Convert to fraction form
    77,981.25/111,430.75 = 111,430.75/x
  3. Step 3: Cross multiply
    77,981.25x = 111,430.75 × 111,430.75
  4. Step 4: Simplify right side
    77,981.25x = 12,416,812,045.56
  5. Step 5: Solve for x
    x = 12,416,812,045.56/77,981.25
  6. Step 6: Final answer
    x = 159,228.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.