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Finding the Third Proportional to 342,272 and 744,208

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Solution

The third proportional to 342,272 and 744,208 is: 1,618,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,272 : 744,208 = 744,208 : x
  2. Step 2: Convert to fraction form
    342,272/744,208 = 744,208/x
  3. Step 3: Cross multiply
    342,272x = 744,208 × 744,208
  4. Step 4: Simplify right side
    342,272x = 553,845,547,264
  5. Step 5: Solve for x
    x = 553,845,547,264/342,272
  6. Step 6: Final answer
    x = 1,618,144.48

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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.