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Finding the Third Proportional to 73,008 and 105,502

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Solution

The third proportional to 73,008 and 105,502 is: 152,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,008 : 105,502 = 105,502 : x
  2. Step 2: Convert to fraction form
    73,008/105,502 = 105,502/x
  3. Step 3: Cross multiply
    73,008x = 105,502 × 105,502
  4. Step 4: Simplify right side
    73,008x = 11,130,672,004
  5. Step 5: Solve for x
    x = 11,130,672,004/73,008
  6. Step 6: Final answer
    x = 152,458.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.