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Finding the Third Proportional to 106,453 and 232,497.50

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Solution

The third proportional to 106,453 and 232,497.50 is: 507,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,453 : 232,497.50 = 232,497.50 : x
  2. Step 2: Convert to fraction form
    106,453/232,497.50 = 232,497.50/x
  3. Step 3: Cross multiply
    106,453x = 232,497.50 × 232,497.50
  4. Step 4: Simplify right side
    106,453x = 54,055,087,506.25
  5. Step 5: Solve for x
    x = 54,055,087,506.25/106,453
  6. Step 6: Final answer
    x = 507,783.60

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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.