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Finding the Third Proportional to 472,959 and 679,914

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Solution

The third proportional to 472,959 and 679,914 is: 977,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,959 : 679,914 = 679,914 : x
  2. Step 2: Convert to fraction form
    472,959/679,914 = 679,914/x
  3. Step 3: Cross multiply
    472,959x = 679,914 × 679,914
  4. Step 4: Simplify right side
    472,959x = 462,283,047,396
  5. Step 5: Solve for x
    x = 462,283,047,396/472,959
  6. Step 6: Final answer
    x = 977,427.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.