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Finding the Third Proportional to 452,677.50 and 978,859.13

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Solution

The third proportional to 452,677.50 and 978,859.13 is: 2,116,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,677.50 : 978,859.13 = 978,859.13 : x
  2. Step 2: Convert to fraction form
    452,677.50/978,859.13 = 978,859.13/x
  3. Step 3: Cross multiply
    452,677.50x = 978,859.13 × 978,859.13
  4. Step 4: Simplify right side
    452,677.50x = 958,165,186,595.77
  5. Step 5: Solve for x
    x = 958,165,186,595.77/452,677.50
  6. Step 6: Final answer
    x = 2,116,661.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.