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Finding the Third Proportional to 315,564 and 688,952

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Solution

The third proportional to 315,564 and 688,952 is: 1,504,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,564 : 688,952 = 688,952 : x
  2. Step 2: Convert to fraction form
    315,564/688,952 = 688,952/x
  3. Step 3: Cross multiply
    315,564x = 688,952 × 688,952
  4. Step 4: Simplify right side
    315,564x = 474,654,858,304
  5. Step 5: Solve for x
    x = 474,654,858,304/315,564
  6. Step 6: Final answer
    x = 1,504,147.68

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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.