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Finding the Third Proportional to 98,952 and 153,333

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Solution

The third proportional to 98,952 and 153,333 is: 237,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,952 : 153,333 = 153,333 : x
  2. Step 2: Convert to fraction form
    98,952/153,333 = 153,333/x
  3. Step 3: Cross multiply
    98,952x = 153,333 × 153,333
  4. Step 4: Simplify right side
    98,952x = 23,511,008,889
  5. Step 5: Solve for x
    x = 23,511,008,889/98,952
  6. Step 6: Final answer
    x = 237,600.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.