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Finding the Third Proportional to 58,247 and 87,280

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Solution

The third proportional to 58,247 and 87,280 is: 130,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,247 : 87,280 = 87,280 : x
  2. Step 2: Convert to fraction form
    58,247/87,280 = 87,280/x
  3. Step 3: Cross multiply
    58,247x = 87,280 × 87,280
  4. Step 4: Simplify right side
    58,247x = 7,617,798,400
  5. Step 5: Solve for x
    x = 7,617,798,400/58,247
  6. Step 6: Final answer
    x = 130,784.39

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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.