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Finding the Third Proportional to 69,575 and 148,989

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Solution

The third proportional to 69,575 and 148,989 is: 319,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,575 : 148,989 = 148,989 : x
  2. Step 2: Convert to fraction form
    69,575/148,989 = 148,989/x
  3. Step 3: Cross multiply
    69,575x = 148,989 × 148,989
  4. Step 4: Simplify right side
    69,575x = 22,197,722,121
  5. Step 5: Solve for x
    x = 22,197,722,121/69,575
  6. Step 6: Final answer
    x = 319,047.39

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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.