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Finding the Third Proportional to 257,920 and 365,280

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Solution

The third proportional to 257,920 and 365,280 is: 517,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,920 : 365,280 = 365,280 : x
  2. Step 2: Convert to fraction form
    257,920/365,280 = 365,280/x
  3. Step 3: Cross multiply
    257,920x = 365,280 × 365,280
  4. Step 4: Simplify right side
    257,920x = 133,429,478,400
  5. Step 5: Solve for x
    x = 133,429,478,400/257,920
  6. Step 6: Final answer
    x = 517,328.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.