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Finding the Third Proportional to 176,820 and 381,877.50

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Solution

The third proportional to 176,820 and 381,877.50 is: 824,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,820 : 381,877.50 = 381,877.50 : x
  2. Step 2: Convert to fraction form
    176,820/381,877.50 = 381,877.50/x
  3. Step 3: Cross multiply
    176,820x = 381,877.50 × 381,877.50
  4. Step 4: Simplify right side
    176,820x = 145,830,425,006.25
  5. Step 5: Solve for x
    x = 145,830,425,006.25/176,820
  6. Step 6: Final answer
    x = 824,739.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.