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Finding the Third Proportional to 443,440 and 972,719

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Solution

The third proportional to 443,440 and 972,719 is: 2,133,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,440 : 972,719 = 972,719 : x
  2. Step 2: Convert to fraction form
    443,440/972,719 = 972,719/x
  3. Step 3: Cross multiply
    443,440x = 972,719 × 972,719
  4. Step 4: Simplify right side
    443,440x = 946,182,252,961
  5. Step 5: Solve for x
    x = 946,182,252,961/443,440
  6. Step 6: Final answer
    x = 2,133,732.30

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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.