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Finding the Third Proportional to 142,963 and 305,559

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Solution

The third proportional to 142,963 and 305,559 is: 653,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,963 : 305,559 = 305,559 : x
  2. Step 2: Convert to fraction form
    142,963/305,559 = 305,559/x
  3. Step 3: Cross multiply
    142,963x = 305,559 × 305,559
  4. Step 4: Simplify right side
    142,963x = 93,366,302,481
  5. Step 5: Solve for x
    x = 93,366,302,481/142,963
  6. Step 6: Final answer
    x = 653,080.18

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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.