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Finding the Third Proportional to 142,626 and 307,827

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Solution

The third proportional to 142,626 and 307,827 is: 664,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,626 : 307,827 = 307,827 : x
  2. Step 2: Convert to fraction form
    142,626/307,827 = 307,827/x
  3. Step 3: Cross multiply
    142,626x = 307,827 × 307,827
  4. Step 4: Simplify right side
    142,626x = 94,757,461,929
  5. Step 5: Solve for x
    x = 94,757,461,929/142,626
  6. Step 6: Final answer
    x = 664,377.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.