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Finding the Third Proportional to 297,114 and 640,428

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Solution

The third proportional to 297,114 and 640,428 is: 1,380,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,114 : 640,428 = 640,428 : x
  2. Step 2: Convert to fraction form
    297,114/640,428 = 640,428/x
  3. Step 3: Cross multiply
    297,114x = 640,428 × 640,428
  4. Step 4: Simplify right side
    297,114x = 410,148,023,184
  5. Step 5: Solve for x
    x = 410,148,023,184/297,114
  6. Step 6: Final answer
    x = 1,380,439.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.