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Finding the Third Proportional to 145,287 and 218,767.50

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Solution

The third proportional to 145,287 and 218,767.50 is: 329,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,287 : 218,767.50 = 218,767.50 : x
  2. Step 2: Convert to fraction form
    145,287/218,767.50 = 218,767.50/x
  3. Step 3: Cross multiply
    145,287x = 218,767.50 × 218,767.50
  4. Step 4: Simplify right side
    145,287x = 47,859,219,056.25
  5. Step 5: Solve for x
    x = 47,859,219,056.25/145,287
  6. Step 6: Final answer
    x = 329,411.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.