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Finding the Third Proportional to 142,805 and 313,639

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Solution

The third proportional to 142,805 and 313,639 is: 688,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,805 : 313,639 = 313,639 : x
  2. Step 2: Convert to fraction form
    142,805/313,639 = 313,639/x
  3. Step 3: Cross multiply
    142,805x = 313,639 × 313,639
  4. Step 4: Simplify right side
    142,805x = 98,369,422,321
  5. Step 5: Solve for x
    x = 98,369,422,321/142,805
  6. Step 6: Final answer
    x = 688,837.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.