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Finding the Third Proportional to 328,988 and 717,470

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Solution

The third proportional to 328,988 and 717,470 is: 1,564,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,988 : 717,470 = 717,470 : x
  2. Step 2: Convert to fraction form
    328,988/717,470 = 717,470/x
  3. Step 3: Cross multiply
    328,988x = 717,470 × 717,470
  4. Step 4: Simplify right side
    328,988x = 514,763,200,900
  5. Step 5: Solve for x
    x = 514,763,200,900/328,988
  6. Step 6: Final answer
    x = 1,564,686.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.