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Finding the Third Proportional to 272,647.69 and 431,525.81

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Solution

The third proportional to 272,647.69 and 431,525.81 is: 682,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,647.69 : 431,525.81 = 431,525.81 : x
  2. Step 2: Convert to fraction form
    272,647.69/431,525.81 = 431,525.81/x
  3. Step 3: Cross multiply
    272,647.69x = 431,525.81 × 431,525.81
  4. Step 4: Simplify right side
    272,647.69x = 186,214,526,853.79
  5. Step 5: Solve for x
    x = 186,214,526,853.79/272,647.69
  6. Step 6: Final answer
    x = 682,985.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.