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Finding the Third Proportional to 408,280 and 612,827

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Solution

The third proportional to 408,280 and 612,827 is: 919,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,280 : 612,827 = 612,827 : x
  2. Step 2: Convert to fraction form
    408,280/612,827 = 612,827/x
  3. Step 3: Cross multiply
    408,280x = 612,827 × 612,827
  4. Step 4: Simplify right side
    408,280x = 375,556,931,929
  5. Step 5: Solve for x
    x = 375,556,931,929/408,280
  6. Step 6: Final answer
    x = 919,851.41

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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.