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Finding the Third Proportional to 409,390 and 602,380

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Solution

The third proportional to 409,390 and 602,380 is: 886,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,390 : 602,380 = 602,380 : x
  2. Step 2: Convert to fraction form
    409,390/602,380 = 602,380/x
  3. Step 3: Cross multiply
    409,390x = 602,380 × 602,380
  4. Step 4: Simplify right side
    409,390x = 362,861,664,400
  5. Step 5: Solve for x
    x = 362,861,664,400/409,390
  6. Step 6: Final answer
    x = 886,347.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.