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Finding the Third Proportional to 477,440 and 1,050,832

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Solution

The third proportional to 477,440 and 1,050,832 is: 2,312,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,440 : 1,050,832 = 1,050,832 : x
  2. Step 2: Convert to fraction form
    477,440/1,050,832 = 1,050,832/x
  3. Step 3: Cross multiply
    477,440x = 1,050,832 × 1,050,832
  4. Step 4: Simplify right side
    477,440x = 1,104,247,892,224
  5. Step 5: Solve for x
    x = 1,104,247,892,224/477,440
  6. Step 6: Final answer
    x = 2,312,851.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.