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Finding the Third Proportional to 1,398,267.56 and 2,159,217

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Solution

The third proportional to 1,398,267.56 and 2,159,217 is: 3,334,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,267.56 : 2,159,217 = 2,159,217 : x
  2. Step 2: Convert to fraction form
    1,398,267.56/2,159,217 = 2,159,217/x
  3. Step 3: Cross multiply
    1,398,267.56x = 2,159,217 × 2,159,217
  4. Step 4: Simplify right side
    1,398,267.56x = 4,662,218,053,089
  5. Step 5: Solve for x
    x = 4,662,218,053,089/1,398,267.56
  6. Step 6: Final answer
    x = 3,334,281.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.