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Finding the Third Proportional to 443,771 and 972,015

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Solution

The third proportional to 443,771 and 972,015 is: 2,129,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,771 : 972,015 = 972,015 : x
  2. Step 2: Convert to fraction form
    443,771/972,015 = 972,015/x
  3. Step 3: Cross multiply
    443,771x = 972,015 × 972,015
  4. Step 4: Simplify right side
    443,771x = 944,813,160,225
  5. Step 5: Solve for x
    x = 944,813,160,225/443,771
  6. Step 6: Final answer
    x = 2,129,055.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.