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Finding the Third Proportional to 152,139.75 and 324,633.75

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Solution

The third proportional to 152,139.75 and 324,633.75 is: 692,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,139.75 : 324,633.75 = 324,633.75 : x
  2. Step 2: Convert to fraction form
    152,139.75/324,633.75 = 324,633.75/x
  3. Step 3: Cross multiply
    152,139.75x = 324,633.75 × 324,633.75
  4. Step 4: Simplify right side
    152,139.75x = 105,387,071,639.06
  5. Step 5: Solve for x
    x = 105,387,071,639.06/152,139.75
  6. Step 6: Final answer
    x = 692,699.12

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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.