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Finding the Third Proportional to 330,971 and 714,421

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Solution

The third proportional to 330,971 and 714,421 is: 1,542,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,971 : 714,421 = 714,421 : x
  2. Step 2: Convert to fraction form
    330,971/714,421 = 714,421/x
  3. Step 3: Cross multiply
    330,971x = 714,421 × 714,421
  4. Step 4: Simplify right side
    330,971x = 510,397,365,241
  5. Step 5: Solve for x
    x = 510,397,365,241/330,971
  6. Step 6: Final answer
    x = 1,542,121.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.