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Finding the Third Proportional to 330,988 and 708,632

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Solution

The third proportional to 330,988 and 708,632 is: 1,517,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,988 : 708,632 = 708,632 : x
  2. Step 2: Convert to fraction form
    330,988/708,632 = 708,632/x
  3. Step 3: Cross multiply
    330,988x = 708,632 × 708,632
  4. Step 4: Simplify right side
    330,988x = 502,159,311,424
  5. Step 5: Solve for x
    x = 502,159,311,424/330,988
  6. Step 6: Final answer
    x = 1,517,152.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.