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Finding the Third Proportional to 239,160 and 512,664

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Solution

The third proportional to 239,160 and 512,664 is: 1,098,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,160 : 512,664 = 512,664 : x
  2. Step 2: Convert to fraction form
    239,160/512,664 = 512,664/x
  3. Step 3: Cross multiply
    239,160x = 512,664 × 512,664
  4. Step 4: Simplify right side
    239,160x = 262,824,376,896
  5. Step 5: Solve for x
    x = 262,824,376,896/239,160
  6. Step 6: Final answer
    x = 1,098,947.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.