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Finding the Third Proportional to 142,412 and 307,341

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Solution

The third proportional to 142,412 and 307,341 is: 663,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,412 : 307,341 = 307,341 : x
  2. Step 2: Convert to fraction form
    142,412/307,341 = 307,341/x
  3. Step 3: Cross multiply
    142,412x = 307,341 × 307,341
  4. Step 4: Simplify right side
    142,412x = 94,458,490,281
  5. Step 5: Solve for x
    x = 94,458,490,281/142,412
  6. Step 6: Final answer
    x = 663,276.20

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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.