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Finding the Third Proportional to 298,377 and 472,473

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Solution

The third proportional to 298,377 and 472,473 is: 748,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,377 : 472,473 = 472,473 : x
  2. Step 2: Convert to fraction form
    298,377/472,473 = 472,473/x
  3. Step 3: Cross multiply
    298,377x = 472,473 × 472,473
  4. Step 4: Simplify right side
    298,377x = 223,230,735,729
  5. Step 5: Solve for x
    x = 223,230,735,729/298,377
  6. Step 6: Final answer
    x = 748,149.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.