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Finding the Third Proportional to 69,702 and 148,395

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Solution

The third proportional to 69,702 and 148,395 is: 315,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,702 : 148,395 = 148,395 : x
  2. Step 2: Convert to fraction form
    69,702/148,395 = 148,395/x
  3. Step 3: Cross multiply
    69,702x = 148,395 × 148,395
  4. Step 4: Simplify right side
    69,702x = 22,021,076,025
  5. Step 5: Solve for x
    x = 22,021,076,025/69,702
  6. Step 6: Final answer
    x = 315,931.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.