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Finding the Third Proportional to 141,377 and 308,157

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Solution

The third proportional to 141,377 and 308,157 is: 671,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,377 : 308,157 = 308,157 : x
  2. Step 2: Convert to fraction form
    141,377/308,157 = 308,157/x
  3. Step 3: Cross multiply
    141,377x = 308,157 × 308,157
  4. Step 4: Simplify right side
    141,377x = 94,960,736,649
  5. Step 5: Solve for x
    x = 94,960,736,649/141,377
  6. Step 6: Final answer
    x = 671,684.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.