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Finding the Third Proportional to 199,413 and 306,510

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Solution

The third proportional to 199,413 and 306,510 is: 471,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413 : 306,510 = 306,510 : x
  2. Step 2: Convert to fraction form
    199,413/306,510 = 306,510/x
  3. Step 3: Cross multiply
    199,413x = 306,510 × 306,510
  4. Step 4: Simplify right side
    199,413x = 93,948,380,100
  5. Step 5: Solve for x
    x = 93,948,380,100/199,413
  6. Step 6: Final answer
    x = 471,124.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.