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Finding the Third Proportional to 140,374 and 306,988

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Solution

The third proportional to 140,374 and 306,988 is: 671,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,374 : 306,988 = 306,988 : x
  2. Step 2: Convert to fraction form
    140,374/306,988 = 306,988/x
  3. Step 3: Cross multiply
    140,374x = 306,988 × 306,988
  4. Step 4: Simplify right side
    140,374x = 94,241,632,144
  5. Step 5: Solve for x
    x = 94,241,632,144/140,374
  6. Step 6: Final answer
    x = 671,361.02

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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.