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Finding the Third Proportional to 220,711.50 and 349,724.25

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Solution

The third proportional to 220,711.50 and 349,724.25 is: 554,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,711.50 : 349,724.25 = 349,724.25 : x
  2. Step 2: Convert to fraction form
    220,711.50/349,724.25 = 349,724.25/x
  3. Step 3: Cross multiply
    220,711.50x = 349,724.25 × 349,724.25
  4. Step 4: Simplify right side
    220,711.50x = 122,307,051,038.06
  5. Step 5: Solve for x
    x = 122,307,051,038.06/220,711.50
  6. Step 6: Final answer
    x = 554,148.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.