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Finding the Third Proportional to 128,288.81 and 297,302.91

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Solution

The third proportional to 128,288.81 and 297,302.91 is: 688,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,288.81 : 297,302.91 = 297,302.91 : x
  2. Step 2: Convert to fraction form
    128,288.81/297,302.91 = 297,302.91/x
  3. Step 3: Cross multiply
    128,288.81x = 297,302.91 × 297,302.91
  4. Step 4: Simplify right side
    128,288.81x = 88,389,018,064.70
  5. Step 5: Solve for x
    x = 88,389,018,064.70/128,288.81
  6. Step 6: Final answer
    x = 688,984.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.