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Finding the Third Proportional to 356,325 and 742,131

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Solution

The third proportional to 356,325 and 742,131 is: 1,545,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,325 : 742,131 = 742,131 : x
  2. Step 2: Convert to fraction form
    356,325/742,131 = 742,131/x
  3. Step 3: Cross multiply
    356,325x = 742,131 × 742,131
  4. Step 4: Simplify right side
    356,325x = 550,758,421,161
  5. Step 5: Solve for x
    x = 550,758,421,161/356,325
  6. Step 6: Final answer
    x = 1,545,663.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.