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Finding the Third Proportional to 99,420 and 150,577.50

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Solution

The third proportional to 99,420 and 150,577.50 is: 228,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,420 : 150,577.50 = 150,577.50 : x
  2. Step 2: Convert to fraction form
    99,420/150,577.50 = 150,577.50/x
  3. Step 3: Cross multiply
    99,420x = 150,577.50 × 150,577.50
  4. Step 4: Simplify right side
    99,420x = 22,673,583,506.25
  5. Step 5: Solve for x
    x = 22,673,583,506.25/99,420
  6. Step 6: Final answer
    x = 228,058.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.