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Finding the Third Proportional to 128,394 and 286,292

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Solution

The third proportional to 128,394 and 286,292 is: 638,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,394 : 286,292 = 286,292 : x
  2. Step 2: Convert to fraction form
    128,394/286,292 = 286,292/x
  3. Step 3: Cross multiply
    128,394x = 286,292 × 286,292
  4. Step 4: Simplify right side
    128,394x = 81,963,109,264
  5. Step 5: Solve for x
    x = 81,963,109,264/128,394
  6. Step 6: Final answer
    x = 638,371.80

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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.