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Finding the Third Proportional to 677,316 and 991,080

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Solution

The third proportional to 677,316 and 991,080 is: 1,450,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,316 : 991,080 = 991,080 : x
  2. Step 2: Convert to fraction form
    677,316/991,080 = 991,080/x
  3. Step 3: Cross multiply
    677,316x = 991,080 × 991,080
  4. Step 4: Simplify right side
    677,316x = 982,239,566,400
  5. Step 5: Solve for x
    x = 982,239,566,400/677,316
  6. Step 6: Final answer
    x = 1,450,193.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.