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Finding the Third Proportional to 141,500 and 307,117

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Solution

The third proportional to 141,500 and 307,117 is: 666,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,500 : 307,117 = 307,117 : x
  2. Step 2: Convert to fraction form
    141,500/307,117 = 307,117/x
  3. Step 3: Cross multiply
    141,500x = 307,117 × 307,117
  4. Step 4: Simplify right side
    141,500x = 94,320,851,689
  5. Step 5: Solve for x
    x = 94,320,851,689/141,500
  6. Step 6: Final answer
    x = 666,578.46

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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.