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Finding the Third Proportional to 721,582 and 1,557,571

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Solution

The third proportional to 721,582 and 1,557,571 is: 3,362,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,582 : 1,557,571 = 1,557,571 : x
  2. Step 2: Convert to fraction form
    721,582/1,557,571 = 1,557,571/x
  3. Step 3: Cross multiply
    721,582x = 1,557,571 × 1,557,571
  4. Step 4: Simplify right side
    721,582x = 2,426,027,420,041
  5. Step 5: Solve for x
    x = 2,426,027,420,041/721,582
  6. Step 6: Final answer
    x = 3,362,095.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.