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Finding the Third Proportional to 232,288 and 508,840

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Solution

The third proportional to 232,288 and 508,840 is: 1,114,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,288 : 508,840 = 508,840 : x
  2. Step 2: Convert to fraction form
    232,288/508,840 = 508,840/x
  3. Step 3: Cross multiply
    232,288x = 508,840 × 508,840
  4. Step 4: Simplify right side
    232,288x = 258,918,145,600
  5. Step 5: Solve for x
    x = 258,918,145,600/232,288
  6. Step 6: Final answer
    x = 1,114,642.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.