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Finding the Third Proportional to 145,186 and 217,780

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Solution

The third proportional to 145,186 and 217,780 is: 326,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,186 : 217,780 = 217,780 : x
  2. Step 2: Convert to fraction form
    145,186/217,780 = 217,780/x
  3. Step 3: Cross multiply
    145,186x = 217,780 × 217,780
  4. Step 4: Simplify right side
    145,186x = 47,428,128,400
  5. Step 5: Solve for x
    x = 47,428,128,400/145,186
  6. Step 6: Final answer
    x = 326,671.50

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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.