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Finding the Third Proportional to 69,460 and 148,968

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Solution

The third proportional to 69,460 and 148,968 is: 319,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,460 : 148,968 = 148,968 : x
  2. Step 2: Convert to fraction form
    69,460/148,968 = 148,968/x
  3. Step 3: Cross multiply
    69,460x = 148,968 × 148,968
  4. Step 4: Simplify right side
    69,460x = 22,191,465,024
  5. Step 5: Solve for x
    x = 22,191,465,024/69,460
  6. Step 6: Final answer
    x = 319,485.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.