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Finding the Third Proportional to 400,915.50 and 599,409

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Solution

The third proportional to 400,915.50 and 599,409 is: 896,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,915.50 : 599,409 = 599,409 : x
  2. Step 2: Convert to fraction form
    400,915.50/599,409 = 599,409/x
  3. Step 3: Cross multiply
    400,915.50x = 599,409 × 599,409
  4. Step 4: Simplify right side
    400,915.50x = 359,291,149,281
  5. Step 5: Solve for x
    x = 359,291,149,281/400,915.50
  6. Step 6: Final answer
    x = 896,176.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.