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Finding the Third Proportional to 236,970 and 512,280

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Solution

The third proportional to 236,970 and 512,280 is: 1,107,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,970 : 512,280 = 512,280 : x
  2. Step 2: Convert to fraction form
    236,970/512,280 = 512,280/x
  3. Step 3: Cross multiply
    236,970x = 512,280 × 512,280
  4. Step 4: Simplify right side
    236,970x = 262,430,798,400
  5. Step 5: Solve for x
    x = 262,430,798,400/236,970
  6. Step 6: Final answer
    x = 1,107,443.13

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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.