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Finding the Third Proportional to 135,776 and 297,664

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Solution

The third proportional to 135,776 and 297,664 is: 652,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,776 : 297,664 = 297,664 : x
  2. Step 2: Convert to fraction form
    135,776/297,664 = 297,664/x
  3. Step 3: Cross multiply
    135,776x = 297,664 × 297,664
  4. Step 4: Simplify right side
    135,776x = 88,603,856,896
  5. Step 5: Solve for x
    x = 88,603,856,896/135,776
  6. Step 6: Final answer
    x = 652,573.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.