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Finding the Third Proportional to 315,353.25 and 489,641.63

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Solution

The third proportional to 315,353.25 and 489,641.63 is: 760,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,353.25 : 489,641.63 = 489,641.63 : x
  2. Step 2: Convert to fraction form
    315,353.25/489,641.63 = 489,641.63/x
  3. Step 3: Cross multiply
    315,353.25x = 489,641.63 × 489,641.63
  4. Step 4: Simplify right side
    315,353.25x = 239,748,920,932.64
  5. Step 5: Solve for x
    x = 239,748,920,932.64/315,353.25
  6. Step 6: Final answer
    x = 760,255.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.