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Finding the Third Proportional to 138,564 and 297,846

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Solution

The third proportional to 138,564 and 297,846 is: 640,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,564 : 297,846 = 297,846 : x
  2. Step 2: Convert to fraction form
    138,564/297,846 = 297,846/x
  3. Step 3: Cross multiply
    138,564x = 297,846 × 297,846
  4. Step 4: Simplify right side
    138,564x = 88,712,239,716
  5. Step 5: Solve for x
    x = 88,712,239,716/138,564
  6. Step 6: Final answer
    x = 640,225.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.