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Finding the Third Proportional to 128,392 and 286,288

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Solution

The third proportional to 128,392 and 286,288 is: 638,363.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,392 : 286,288 = 286,288 : x
  2. Step 2: Convert to fraction form
    128,392/286,288 = 286,288/x
  3. Step 3: Cross multiply
    128,392x = 286,288 × 286,288
  4. Step 4: Simplify right side
    128,392x = 81,960,818,944
  5. Step 5: Solve for x
    x = 81,960,818,944/128,392
  6. Step 6: Final answer
    x = 638,363.91

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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.