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Finding the Third Proportional to 158,766 and 218,709

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Solution

The third proportional to 158,766 and 218,709 is: 301,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,766 : 218,709 = 218,709 : x
  2. Step 2: Convert to fraction form
    158,766/218,709 = 218,709/x
  3. Step 3: Cross multiply
    158,766x = 218,709 × 218,709
  4. Step 4: Simplify right side
    158,766x = 47,833,626,681
  5. Step 5: Solve for x
    x = 47,833,626,681/158,766
  6. Step 6: Final answer
    x = 301,283.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.