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Finding the Third Proportional to 251,280 and 345,808

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Solution

The third proportional to 251,280 and 345,808 is: 475,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,280 : 345,808 = 345,808 : x
  2. Step 2: Convert to fraction form
    251,280/345,808 = 345,808/x
  3. Step 3: Cross multiply
    251,280x = 345,808 × 345,808
  4. Step 4: Simplify right side
    251,280x = 119,583,172,864
  5. Step 5: Solve for x
    x = 119,583,172,864/251,280
  6. Step 6: Final answer
    x = 475,896.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.