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Finding the Third Proportional to 141,406 and 307,700

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Solution

The third proportional to 141,406 and 307,700 is: 669,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,406 : 307,700 = 307,700 : x
  2. Step 2: Convert to fraction form
    141,406/307,700 = 307,700/x
  3. Step 3: Cross multiply
    141,406x = 307,700 × 307,700
  4. Step 4: Simplify right side
    141,406x = 94,679,290,000
  5. Step 5: Solve for x
    x = 94,679,290,000/141,406
  6. Step 6: Final answer
    x = 669,556.38

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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.