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Finding the Third Proportional to 443,438 and 972,715

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Solution

The third proportional to 443,438 and 972,715 is: 2,133,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,438 : 972,715 = 972,715 : x
  2. Step 2: Convert to fraction form
    443,438/972,715 = 972,715/x
  3. Step 3: Cross multiply
    443,438x = 972,715 × 972,715
  4. Step 4: Simplify right side
    443,438x = 946,174,471,225
  5. Step 5: Solve for x
    x = 946,174,471,225/443,438
  6. Step 6: Final answer
    x = 2,133,724.38

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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.