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Finding the Third Proportional to 215,712 and 472,896

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Solution

The third proportional to 215,712 and 472,896 is: 1,036,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,712 : 472,896 = 472,896 : x
  2. Step 2: Convert to fraction form
    215,712/472,896 = 472,896/x
  3. Step 3: Cross multiply
    215,712x = 472,896 × 472,896
  4. Step 4: Simplify right side
    215,712x = 223,630,626,816
  5. Step 5: Solve for x
    x = 223,630,626,816/215,712
  6. Step 6: Final answer
    x = 1,036,709.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.