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Finding the Third Proportional to 298,440 and 687,294

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Solution

The third proportional to 298,440 and 687,294 is: 1,582,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,440 : 687,294 = 687,294 : x
  2. Step 2: Convert to fraction form
    298,440/687,294 = 687,294/x
  3. Step 3: Cross multiply
    298,440x = 687,294 × 687,294
  4. Step 4: Simplify right side
    298,440x = 472,373,042,436
  5. Step 5: Solve for x
    x = 472,373,042,436/298,440
  6. Step 6: Final answer
    x = 1,582,807.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.