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Finding the Third Proportional to 430,063 and 911,398

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Solution

The third proportional to 430,063 and 911,398 is: 1,931,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,063 : 911,398 = 911,398 : x
  2. Step 2: Convert to fraction form
    430,063/911,398 = 911,398/x
  3. Step 3: Cross multiply
    430,063x = 911,398 × 911,398
  4. Step 4: Simplify right side
    430,063x = 830,646,314,404
  5. Step 5: Solve for x
    x = 830,646,314,404/430,063
  6. Step 6: Final answer
    x = 1,931,452.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.