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Finding the Third Proportional to 635,428.50 and 990,655.50

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Solution

The third proportional to 635,428.50 and 990,655.50 is: 1,544,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,428.50 : 990,655.50 = 990,655.50 : x
  2. Step 2: Convert to fraction form
    635,428.50/990,655.50 = 990,655.50/x
  3. Step 3: Cross multiply
    635,428.50x = 990,655.50 × 990,655.50
  4. Step 4: Simplify right side
    635,428.50x = 981,398,319,680.25
  5. Step 5: Solve for x
    x = 981,398,319,680.25/635,428.50
  6. Step 6: Final answer
    x = 1,544,466.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.