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Finding the Third Proportional to 141,776 and 309,553

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Solution

The third proportional to 141,776 and 309,553 is: 675,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,776 : 309,553 = 309,553 : x
  2. Step 2: Convert to fraction form
    141,776/309,553 = 309,553/x
  3. Step 3: Cross multiply
    141,776x = 309,553 × 309,553
  4. Step 4: Simplify right side
    141,776x = 95,823,059,809
  5. Step 5: Solve for x
    x = 95,823,059,809/141,776
  6. Step 6: Final answer
    x = 675,876.45

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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.