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Finding the Third Proportional to 140,748 and 306,744

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Solution

The third proportional to 140,748 and 306,744 is: 668,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,748 : 306,744 = 306,744 : x
  2. Step 2: Convert to fraction form
    140,748/306,744 = 306,744/x
  3. Step 3: Cross multiply
    140,748x = 306,744 × 306,744
  4. Step 4: Simplify right side
    140,748x = 94,091,881,536
  5. Step 5: Solve for x
    x = 94,091,881,536/140,748
  6. Step 6: Final answer
    x = 668,513.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.