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Finding the Third Proportional to 142,407 and 307,656

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Solution

The third proportional to 142,407 and 307,656 is: 664,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,407 : 307,656 = 307,656 : x
  2. Step 2: Convert to fraction form
    142,407/307,656 = 307,656/x
  3. Step 3: Cross multiply
    142,407x = 307,656 × 307,656
  4. Step 4: Simplify right side
    142,407x = 94,652,214,336
  5. Step 5: Solve for x
    x = 94,652,214,336/142,407
  6. Step 6: Final answer
    x = 664,659.84

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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.