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Finding the Third Proportional to 248,280 and 535,920

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Solution

The third proportional to 248,280 and 535,920 is: 1,156,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,280 : 535,920 = 535,920 : x
  2. Step 2: Convert to fraction form
    248,280/535,920 = 535,920/x
  3. Step 3: Cross multiply
    248,280x = 535,920 × 535,920
  4. Step 4: Simplify right side
    248,280x = 287,210,246,400
  5. Step 5: Solve for x
    x = 287,210,246,400/248,280
  6. Step 6: Final answer
    x = 1,156,799.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.