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Finding the Third Proportional to 677,419.88 and 997,417.13

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Solution

The third proportional to 677,419.88 and 997,417.13 is: 1,468,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,419.88 : 997,417.13 = 997,417.13 : x
  2. Step 2: Convert to fraction form
    677,419.88/997,417.13 = 997,417.13/x
  3. Step 3: Cross multiply
    677,419.88x = 997,417.13 × 997,417.13
  4. Step 4: Simplify right side
    677,419.88x = 994,840,921,243.27
  5. Step 5: Solve for x
    x = 994,840,921,243.27/677,419.88
  6. Step 6: Final answer
    x = 1,468,573.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.