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Finding the Third Proportional to 307,872 and 460,572

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Solution

The third proportional to 307,872 and 460,572 is: 689,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,872 : 460,572 = 460,572 : x
  2. Step 2: Convert to fraction form
    307,872/460,572 = 460,572/x
  3. Step 3: Cross multiply
    307,872x = 460,572 × 460,572
  4. Step 4: Simplify right side
    307,872x = 212,126,567,184
  5. Step 5: Solve for x
    x = 212,126,567,184/307,872
  6. Step 6: Final answer
    x = 689,008.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.