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Finding the Third Proportional to 329,648,409 and 686,425,338

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Solution

The third proportional to 329,648,409 and 686,425,338 is: 1,429,340,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,648,409 : 686,425,338 = 686,425,338 : x
  2. Step 2: Convert to fraction form
    329,648,409/686,425,338 = 686,425,338/x
  3. Step 3: Cross multiply
    329,648,409x = 686,425,338 × 686,425,338
  4. Step 4: Simplify right side
    329,648,409x = 471,179,744,648,414,272
  5. Step 5: Solve for x
    x = 471,179,744,648,414,272/329,648,409
  6. Step 6: Final answer
    x = 1,429,340,266.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.