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Finding the Third Proportional to 141,438 and 307,770

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Solution

The third proportional to 141,438 and 307,770 is: 669,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,438 : 307,770 = 307,770 : x
  2. Step 2: Convert to fraction form
    141,438/307,770 = 307,770/x
  3. Step 3: Cross multiply
    141,438x = 307,770 × 307,770
  4. Step 4: Simplify right side
    141,438x = 94,722,372,900
  5. Step 5: Solve for x
    x = 94,722,372,900/141,438
  6. Step 6: Final answer
    x = 669,709.50

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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.