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Finding the Third Proportional to 152,300.25 and 332,788.50

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Solution

The third proportional to 152,300.25 and 332,788.50 is: 727,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,300.25 : 332,788.50 = 332,788.50 : x
  2. Step 2: Convert to fraction form
    152,300.25/332,788.50 = 332,788.50/x
  3. Step 3: Cross multiply
    152,300.25x = 332,788.50 × 332,788.50
  4. Step 4: Simplify right side
    152,300.25x = 110,748,185,732.25
  5. Step 5: Solve for x
    x = 110,748,185,732.25/152,300.25
  6. Step 6: Final answer
    x = 727,170.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.