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Finding the Third Proportional to 323,335 and 489,476

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Solution

The third proportional to 323,335 and 489,476 is: 740,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,335 : 489,476 = 489,476 : x
  2. Step 2: Convert to fraction form
    323,335/489,476 = 489,476/x
  3. Step 3: Cross multiply
    323,335x = 489,476 × 489,476
  4. Step 4: Simplify right side
    323,335x = 239,586,754,576
  5. Step 5: Solve for x
    x = 239,586,754,576/323,335
  6. Step 6: Final answer
    x = 740,986.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.