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Finding the Third Proportional to 145,815.19 and 218,722.78

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Solution

The third proportional to 145,815.19 and 218,722.78 is: 328,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,815.19 : 218,722.78 = 218,722.78 : x
  2. Step 2: Convert to fraction form
    145,815.19/218,722.78 = 218,722.78/x
  3. Step 3: Cross multiply
    145,815.19x = 218,722.78 × 218,722.78
  4. Step 4: Simplify right side
    145,815.19x = 47,839,655,037.74
  5. Step 5: Solve for x
    x = 47,839,655,037.74/145,815.19
  6. Step 6: Final answer
    x = 328,084.17

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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.