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Finding the Third Proportional to 152,977.50 and 328,100.63

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Solution

The third proportional to 152,977.50 and 328,100.63 is: 703,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,977.50 : 328,100.63 = 328,100.63 : x
  2. Step 2: Convert to fraction form
    152,977.50/328,100.63 = 328,100.63/x
  3. Step 3: Cross multiply
    152,977.50x = 328,100.63 × 328,100.63
  4. Step 4: Simplify right side
    152,977.50x = 107,650,020,125.39
  5. Step 5: Solve for x
    x = 107,650,020,125.39/152,977.50
  6. Step 6: Final answer
    x = 703,698.39

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