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Finding the Third Proportional to 330,988 and 714,470

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Solution

The third proportional to 330,988 and 714,470 is: 1,542,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,988 : 714,470 = 714,470 : x
  2. Step 2: Convert to fraction form
    330,988/714,470 = 714,470/x
  3. Step 3: Cross multiply
    330,988x = 714,470 × 714,470
  4. Step 4: Simplify right side
    330,988x = 510,467,380,900
  5. Step 5: Solve for x
    x = 510,467,380,900/330,988
  6. Step 6: Final answer
    x = 1,542,253.44

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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.