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Finding the Third Proportional to 315,303 and 476,227.50

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Solution

The third proportional to 315,303 and 476,227.50 is: 719,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,303 : 476,227.50 = 476,227.50 : x
  2. Step 2: Convert to fraction form
    315,303/476,227.50 = 476,227.50/x
  3. Step 3: Cross multiply
    315,303x = 476,227.50 × 476,227.50
  4. Step 4: Simplify right side
    315,303x = 226,792,631,756.25
  5. Step 5: Solve for x
    x = 226,792,631,756.25/315,303
  6. Step 6: Final answer
    x = 719,284.73

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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.