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Finding the Third Proportional to 78,806 and 119,664

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Solution

The third proportional to 78,806 and 119,664 is: 181,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,806 : 119,664 = 119,664 : x
  2. Step 2: Convert to fraction form
    78,806/119,664 = 119,664/x
  3. Step 3: Cross multiply
    78,806x = 119,664 × 119,664
  4. Step 4: Simplify right side
    78,806x = 14,319,472,896
  5. Step 5: Solve for x
    x = 14,319,472,896/78,806
  6. Step 6: Final answer
    x = 181,705.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.