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Finding the Third Proportional to 366,874 and 489,210.50

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Solution

The third proportional to 366,874 and 489,210.50 is: 652,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,874 : 489,210.50 = 489,210.50 : x
  2. Step 2: Convert to fraction form
    366,874/489,210.50 = 489,210.50/x
  3. Step 3: Cross multiply
    366,874x = 489,210.50 × 489,210.50
  4. Step 4: Simplify right side
    366,874x = 239,326,913,310.25
  5. Step 5: Solve for x
    x = 239,326,913,310.25/366,874
  6. Step 6: Final answer
    x = 652,340.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.