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Finding the Third Proportional to 315,342 and 489,594

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Solution

The third proportional to 315,342 and 489,594 is: 760,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,342 : 489,594 = 489,594 : x
  2. Step 2: Convert to fraction form
    315,342/489,594 = 489,594/x
  3. Step 3: Cross multiply
    315,342x = 489,594 × 489,594
  4. Step 4: Simplify right side
    315,342x = 239,702,284,836
  5. Step 5: Solve for x
    x = 239,702,284,836/315,342
  6. Step 6: Final answer
    x = 760,134.35

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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.