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Finding the Third Proportional to 288,238.50 and 424,905.75

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Solution

The third proportional to 288,238.50 and 424,905.75 is: 626,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,238.50 : 424,905.75 = 424,905.75 : x
  2. Step 2: Convert to fraction form
    288,238.50/424,905.75 = 424,905.75/x
  3. Step 3: Cross multiply
    288,238.50x = 424,905.75 × 424,905.75
  4. Step 4: Simplify right side
    288,238.50x = 180,544,896,383.06
  5. Step 5: Solve for x
    x = 180,544,896,383.06/288,238.50
  6. Step 6: Final answer
    x = 626,373.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.