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Finding the Third Proportional to 443,421 and 972,681

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Solution

The third proportional to 443,421 and 972,681 is: 2,133,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,421 : 972,681 = 972,681 : x
  2. Step 2: Convert to fraction form
    443,421/972,681 = 972,681/x
  3. Step 3: Cross multiply
    443,421x = 972,681 × 972,681
  4. Step 4: Simplify right side
    443,421x = 946,108,327,761
  5. Step 5: Solve for x
    x = 946,108,327,761/443,421
  6. Step 6: Final answer
    x = 2,133,657.02

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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.