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Finding the Third Proportional to 429,747 and 910,719

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Solution

The third proportional to 429,747 and 910,719 is: 1,929,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,747 : 910,719 = 910,719 : x
  2. Step 2: Convert to fraction form
    429,747/910,719 = 910,719/x
  3. Step 3: Cross multiply
    429,747x = 910,719 × 910,719
  4. Step 4: Simplify right side
    429,747x = 829,409,096,961
  5. Step 5: Solve for x
    x = 829,409,096,961/429,747
  6. Step 6: Final answer
    x = 1,929,993.92

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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.