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Finding the Third Proportional to 476,901 and 720,211.50

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Solution

The third proportional to 476,901 and 720,211.50 is: 1,087,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,901 : 720,211.50 = 720,211.50 : x
  2. Step 2: Convert to fraction form
    476,901/720,211.50 = 720,211.50/x
  3. Step 3: Cross multiply
    476,901x = 720,211.50 × 720,211.50
  4. Step 4: Simplify right side
    476,901x = 518,704,604,732.25
  5. Step 5: Solve for x
    x = 518,704,604,732.25/476,901
  6. Step 6: Final answer
    x = 1,087,656.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.