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Finding the Third Proportional to 388,915.50 and 583,380

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Solution

The third proportional to 388,915.50 and 583,380 is: 875,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,915.50 : 583,380 = 583,380 : x
  2. Step 2: Convert to fraction form
    388,915.50/583,380 = 583,380/x
  3. Step 3: Cross multiply
    388,915.50x = 583,380 × 583,380
  4. Step 4: Simplify right side
    388,915.50x = 340,332,224,400
  5. Step 5: Solve for x
    x = 340,332,224,400/388,915.50
  6. Step 6: Final answer
    x = 875,080.13

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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.