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Finding the Third Proportional to 154,090 and 312,418

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Solution

The third proportional to 154,090 and 312,418 is: 633,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,090 : 312,418 = 312,418 : x
  2. Step 2: Convert to fraction form
    154,090/312,418 = 312,418/x
  3. Step 3: Cross multiply
    154,090x = 312,418 × 312,418
  4. Step 4: Simplify right side
    154,090x = 97,605,006,724
  5. Step 5: Solve for x
    x = 97,605,006,724/154,090
  6. Step 6: Final answer
    x = 633,428.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.