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Finding the Third Proportional to 153,812 and 232,767.50

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Solution

The third proportional to 153,812 and 232,767.50 is: 352,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,812 : 232,767.50 = 232,767.50 : x
  2. Step 2: Convert to fraction form
    153,812/232,767.50 = 232,767.50/x
  3. Step 3: Cross multiply
    153,812x = 232,767.50 × 232,767.50
  4. Step 4: Simplify right side
    153,812x = 54,180,709,056.25
  5. Step 5: Solve for x
    x = 54,180,709,056.25/153,812
  6. Step 6: Final answer
    x = 352,252.81

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