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Finding the Third Proportional to 330,981 and 714,438

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Solution

The third proportional to 330,981 and 714,438 is: 1,542,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,981 : 714,438 = 714,438 : x
  2. Step 2: Convert to fraction form
    330,981/714,438 = 714,438/x
  3. Step 3: Cross multiply
    330,981x = 714,438 × 714,438
  4. Step 4: Simplify right side
    330,981x = 510,421,655,844
  5. Step 5: Solve for x
    x = 510,421,655,844/330,981
  6. Step 6: Final answer
    x = 1,542,147.91

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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.