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Finding the Third Proportional to 677,457 and 1,489,654.13

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Solution

The third proportional to 677,457 and 1,489,654.13 is: 3,275,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,457 : 1,489,654.13 = 1,489,654.13 : x
  2. Step 2: Convert to fraction form
    677,457/1,489,654.13 = 1,489,654.13/x
  3. Step 3: Cross multiply
    677,457x = 1,489,654.13 × 1,489,654.13
  4. Step 4: Simplify right side
    677,457x = 2,219,069,412,129.52
  5. Step 5: Solve for x
    x = 2,219,069,412,129.52/677,457
  6. Step 6: Final answer
    x = 3,275,587.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.