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Finding the Third Proportional to 473,832 and 1,023,532

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Solution

The third proportional to 473,832 and 1,023,532 is: 2,210,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,832 : 1,023,532 = 1,023,532 : x
  2. Step 2: Convert to fraction form
    473,832/1,023,532 = 1,023,532/x
  3. Step 3: Cross multiply
    473,832x = 1,023,532 × 1,023,532
  4. Step 4: Simplify right side
    473,832x = 1,047,617,755,024
  5. Step 5: Solve for x
    x = 1,047,617,755,024/473,832
  6. Step 6: Final answer
    x = 2,210,947.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.