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Finding the Third Proportional to 140,034 and 307,281

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Solution

The third proportional to 140,034 and 307,281 is: 674,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,034 : 307,281 = 307,281 : x
  2. Step 2: Convert to fraction form
    140,034/307,281 = 307,281/x
  3. Step 3: Cross multiply
    140,034x = 307,281 × 307,281
  4. Step 4: Simplify right side
    140,034x = 94,421,612,961
  5. Step 5: Solve for x
    x = 94,421,612,961/140,034
  6. Step 6: Final answer
    x = 674,276.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.