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Finding the Third Proportional to 312,543 and 481,788

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Solution

The third proportional to 312,543 and 481,788 is: 742,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,543 : 481,788 = 481,788 : x
  2. Step 2: Convert to fraction form
    312,543/481,788 = 481,788/x
  3. Step 3: Cross multiply
    312,543x = 481,788 × 481,788
  4. Step 4: Simplify right side
    312,543x = 232,119,676,944
  5. Step 5: Solve for x
    x = 232,119,676,944/312,543
  6. Step 6: Final answer
    x = 742,680.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.