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Finding the Third Proportional to 695,428 and 1,490,660

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Solution

The third proportional to 695,428 and 1,490,660 is: 3,195,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,428 : 1,490,660 = 1,490,660 : x
  2. Step 2: Convert to fraction form
    695,428/1,490,660 = 1,490,660/x
  3. Step 3: Cross multiply
    695,428x = 1,490,660 × 1,490,660
  4. Step 4: Simplify right side
    695,428x = 2,222,067,235,600
  5. Step 5: Solve for x
    x = 2,222,067,235,600/695,428
  6. Step 6: Final answer
    x = 3,195,251.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.