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Finding the Third Proportional to 380,448 and 803,334

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Solution

The third proportional to 380,448 and 803,334 is: 1,696,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,448 : 803,334 = 803,334 : x
  2. Step 2: Convert to fraction form
    380,448/803,334 = 803,334/x
  3. Step 3: Cross multiply
    380,448x = 803,334 × 803,334
  4. Step 4: Simplify right side
    380,448x = 645,345,515,556
  5. Step 5: Solve for x
    x = 645,345,515,556/380,448
  6. Step 6: Final answer
    x = 1,696,277.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.