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Finding the Third Proportional to 310,007.25 and 489,922.17

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Solution

The third proportional to 310,007.25 and 489,922.17 is: 774,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,007.25 : 489,922.17 = 489,922.17 : x
  2. Step 2: Convert to fraction form
    310,007.25/489,922.17 = 489,922.17/x
  3. Step 3: Cross multiply
    310,007.25x = 489,922.17 × 489,922.17
  4. Step 4: Simplify right side
    310,007.25x = 240,023,734,494.72
  5. Step 5: Solve for x
    x = 240,023,734,494.72/310,007.25
  6. Step 6: Final answer
    x = 774,252.00

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.