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Finding the Third Proportional to 475,475 and 1,025,850.50

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Solution

The third proportional to 475,475 and 1,025,850.50 is: 2,213,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,475 : 1,025,850.50 = 1,025,850.50 : x
  2. Step 2: Convert to fraction form
    475,475/1,025,850.50 = 1,025,850.50/x
  3. Step 3: Cross multiply
    475,475x = 1,025,850.50 × 1,025,850.50
  4. Step 4: Simplify right side
    475,475x = 1,052,369,248,350.25
  5. Step 5: Solve for x
    x = 1,052,369,248,350.25/475,475
  6. Step 6: Final answer
    x = 2,213,300.91

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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.