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Finding the Third Proportional to 276,688 and 417,572

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Solution

The third proportional to 276,688 and 417,572 is: 630,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,688 : 417,572 = 417,572 : x
  2. Step 2: Convert to fraction form
    276,688/417,572 = 417,572/x
  3. Step 3: Cross multiply
    276,688x = 417,572 × 417,572
  4. Step 4: Simplify right side
    276,688x = 174,366,375,184
  5. Step 5: Solve for x
    x = 174,366,375,184/276,688
  6. Step 6: Final answer
    x = 630,191.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.