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Finding the Third Proportional to 342,276 and 744,216

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Solution

The third proportional to 342,276 and 744,216 is: 1,618,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,276 : 744,216 = 744,216 : x
  2. Step 2: Convert to fraction form
    342,276/744,216 = 744,216/x
  3. Step 3: Cross multiply
    342,276x = 744,216 × 744,216
  4. Step 4: Simplify right side
    342,276x = 553,857,454,656
  5. Step 5: Solve for x
    x = 553,857,454,656/342,276
  6. Step 6: Final answer
    x = 1,618,160.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.