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Finding the Third Proportional to 358,384 and 769,897

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Solution

The third proportional to 358,384 and 769,897 is: 1,653,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,384 : 769,897 = 769,897 : x
  2. Step 2: Convert to fraction form
    358,384/769,897 = 769,897/x
  3. Step 3: Cross multiply
    358,384x = 769,897 × 769,897
  4. Step 4: Simplify right side
    358,384x = 592,741,390,609
  5. Step 5: Solve for x
    x = 592,741,390,609/358,384
  6. Step 6: Final answer
    x = 1,653,928.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.