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Finding the Third Proportional to 508,896 and 1,110,132

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Solution

The third proportional to 508,896 and 1,110,132 is: 2,421,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,896 : 1,110,132 = 1,110,132 : x
  2. Step 2: Convert to fraction form
    508,896/1,110,132 = 1,110,132/x
  3. Step 3: Cross multiply
    508,896x = 1,110,132 × 1,110,132
  4. Step 4: Simplify right side
    508,896x = 1,232,393,057,424
  5. Step 5: Solve for x
    x = 1,232,393,057,424/508,896
  6. Step 6: Final answer
    x = 2,421,699.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.