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Finding the Third Proportional to 356,218.50 and 756,154.50

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Solution

The third proportional to 356,218.50 and 756,154.50 is: 1,605,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,218.50 : 756,154.50 = 756,154.50 : x
  2. Step 2: Convert to fraction form
    356,218.50/756,154.50 = 756,154.50/x
  3. Step 3: Cross multiply
    356,218.50x = 756,154.50 × 756,154.50
  4. Step 4: Simplify right side
    356,218.50x = 571,769,627,870.25
  5. Step 5: Solve for x
    x = 571,769,627,870.25/356,218.50
  6. Step 6: Final answer
    x = 1,605,109.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.