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Finding the Third Proportional to 721,888 and 1,572,080

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Solution

The third proportional to 721,888 and 1,572,080 is: 3,423,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,888 : 1,572,080 = 1,572,080 : x
  2. Step 2: Convert to fraction form
    721,888/1,572,080 = 1,572,080/x
  3. Step 3: Cross multiply
    721,888x = 1,572,080 × 1,572,080
  4. Step 4: Simplify right side
    721,888x = 2,471,435,526,400
  5. Step 5: Solve for x
    x = 2,471,435,526,400/721,888
  6. Step 6: Final answer
    x = 3,423,571.98

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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.