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Finding the Third Proportional to 128,331 and 286,140.94

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Solution

The third proportional to 128,331 and 286,140.94 is: 638,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,331 : 286,140.94 = 286,140.94 : x
  2. Step 2: Convert to fraction form
    128,331/286,140.94 = 286,140.94/x
  3. Step 3: Cross multiply
    128,331x = 286,140.94 × 286,140.94
  4. Step 4: Simplify right side
    128,331x = 81,876,636,113.38
  5. Step 5: Solve for x
    x = 81,876,636,113.38/128,331
  6. Step 6: Final answer
    x = 638,011.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.