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Finding the Third Proportional to 315,324 and 489,592

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Solution

The third proportional to 315,324 and 489,592 is: 760,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,324 : 489,592 = 489,592 : x
  2. Step 2: Convert to fraction form
    315,324/489,592 = 489,592/x
  3. Step 3: Cross multiply
    315,324x = 489,592 × 489,592
  4. Step 4: Simplify right side
    315,324x = 239,700,326,464
  5. Step 5: Solve for x
    x = 239,700,326,464/315,324
  6. Step 6: Final answer
    x = 760,171.53

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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.