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Finding the Third Proportional to 717,520 and 1,561,160

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Solution

The third proportional to 717,520 and 1,561,160 is: 3,396,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,520 : 1,561,160 = 1,561,160 : x
  2. Step 2: Convert to fraction form
    717,520/1,561,160 = 1,561,160/x
  3. Step 3: Cross multiply
    717,520x = 1,561,160 × 1,561,160
  4. Step 4: Simplify right side
    717,520x = 2,437,220,545,600
  5. Step 5: Solve for x
    x = 2,437,220,545,600/717,520
  6. Step 6: Final answer
    x = 3,396,728.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.