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Finding the Third Proportional to 290,103.19 and 448,276.78

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Solution

The third proportional to 290,103.19 and 448,276.78 is: 692,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,103.19 : 448,276.78 = 448,276.78 : x
  2. Step 2: Convert to fraction form
    290,103.19/448,276.78 = 448,276.78/x
  3. Step 3: Cross multiply
    290,103.19x = 448,276.78 × 448,276.78
  4. Step 4: Simplify right side
    290,103.19x = 200,952,072,607.86
  5. Step 5: Solve for x
    x = 200,952,072,607.86/290,103.19
  6. Step 6: Final answer
    x = 692,691.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.