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Finding the Third Proportional to 143,617 and 306,781

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Solution

The third proportional to 143,617 and 306,781 is: 655,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,617 : 306,781 = 306,781 : x
  2. Step 2: Convert to fraction form
    143,617/306,781 = 306,781/x
  3. Step 3: Cross multiply
    143,617x = 306,781 × 306,781
  4. Step 4: Simplify right side
    143,617x = 94,114,581,961
  5. Step 5: Solve for x
    x = 94,114,581,961/143,617
  6. Step 6: Final answer
    x = 655,316.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.