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Finding the Third Proportional to 215,688 and 469,023

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Solution

The third proportional to 215,688 and 469,023 is: 1,019,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,688 : 469,023 = 469,023 : x
  2. Step 2: Convert to fraction form
    215,688/469,023 = 469,023/x
  3. Step 3: Cross multiply
    215,688x = 469,023 × 469,023
  4. Step 4: Simplify right side
    215,688x = 219,982,574,529
  5. Step 5: Solve for x
    x = 219,982,574,529/215,688
  6. Step 6: Final answer
    x = 1,019,911.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.