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Finding the Third Proportional to 145,554 and 220,959

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Solution

The third proportional to 145,554 and 220,959 is: 335,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,554 : 220,959 = 220,959 : x
  2. Step 2: Convert to fraction form
    145,554/220,959 = 220,959/x
  3. Step 3: Cross multiply
    145,554x = 220,959 × 220,959
  4. Step 4: Simplify right side
    145,554x = 48,822,879,681
  5. Step 5: Solve for x
    x = 48,822,879,681/145,554
  6. Step 6: Final answer
    x = 335,427.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.