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Finding the Third Proportional to 210,455.72 and 320,937.82

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Solution

The third proportional to 210,455.72 and 320,937.82 is: 489,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,455.72 : 320,937.82 = 320,937.82 : x
  2. Step 2: Convert to fraction form
    210,455.72/320,937.82 = 320,937.82/x
  3. Step 3: Cross multiply
    210,455.72x = 320,937.82 × 320,937.82
  4. Step 4: Simplify right side
    210,455.72x = 103,001,084,506.94
  5. Step 5: Solve for x
    x = 103,001,084,506.94/210,455.72
  6. Step 6: Final answer
    x = 489,419.27

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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.