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Finding the Third Proportional to 380,391 and 803,217

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Solution

The third proportional to 380,391 and 803,217 is: 1,696,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,391 : 803,217 = 803,217 : x
  2. Step 2: Convert to fraction form
    380,391/803,217 = 803,217/x
  3. Step 3: Cross multiply
    380,391x = 803,217 × 803,217
  4. Step 4: Simplify right side
    380,391x = 645,157,549,089
  5. Step 5: Solve for x
    x = 645,157,549,089/380,391
  6. Step 6: Final answer
    x = 1,696,037.89

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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.