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Finding the Third Proportional to 212,242.50 and 460,660.50

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Solution

The third proportional to 212,242.50 and 460,660.50 is: 999,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,242.50 : 460,660.50 = 460,660.50 : x
  2. Step 2: Convert to fraction form
    212,242.50/460,660.50 = 460,660.50/x
  3. Step 3: Cross multiply
    212,242.50x = 460,660.50 × 460,660.50
  4. Step 4: Simplify right side
    212,242.50x = 212,208,096,260.25
  5. Step 5: Solve for x
    x = 212,208,096,260.25/212,242.50
  6. Step 6: Final answer
    x = 999,837.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.