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Finding the Third Proportional to 140,362 and 306,967

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Solution

The third proportional to 140,362 and 306,967 is: 671,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,362 : 306,967 = 306,967 : x
  2. Step 2: Convert to fraction form
    140,362/306,967 = 306,967/x
  3. Step 3: Cross multiply
    140,362x = 306,967 × 306,967
  4. Step 4: Simplify right side
    140,362x = 94,228,739,089
  5. Step 5: Solve for x
    x = 94,228,739,089/140,362
  6. Step 6: Final answer
    x = 671,326.56

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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.