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Finding the Third Proportional to 332,521 and 688,687

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Solution

The third proportional to 332,521 and 688,687 is: 1,426,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,521 : 688,687 = 688,687 : x
  2. Step 2: Convert to fraction form
    332,521/688,687 = 688,687/x
  3. Step 3: Cross multiply
    332,521x = 688,687 × 688,687
  4. Step 4: Simplify right side
    332,521x = 474,289,783,969
  5. Step 5: Solve for x
    x = 474,289,783,969/332,521
  6. Step 6: Final answer
    x = 1,426,345.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.