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Finding the Third Proportional to 384,216 and 617,332

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Solution

The third proportional to 384,216 and 617,332 is: 991,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,216 : 617,332 = 617,332 : x
  2. Step 2: Convert to fraction form
    384,216/617,332 = 617,332/x
  3. Step 3: Cross multiply
    384,216x = 617,332 × 617,332
  4. Step 4: Simplify right side
    384,216x = 381,098,798,224
  5. Step 5: Solve for x
    x = 381,098,798,224/384,216
  6. Step 6: Final answer
    x = 991,886.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.