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Finding the Third Proportional to 153,553 and 222,798

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Solution

The third proportional to 153,553 and 222,798 is: 323,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,553 : 222,798 = 222,798 : x
  2. Step 2: Convert to fraction form
    153,553/222,798 = 222,798/x
  3. Step 3: Cross multiply
    153,553x = 222,798 × 222,798
  4. Step 4: Simplify right side
    153,553x = 49,638,948,804
  5. Step 5: Solve for x
    x = 49,638,948,804/153,553
  6. Step 6: Final answer
    x = 323,269.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.