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Finding the Third Proportional to 427,817 and 910,690

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Solution

The third proportional to 427,817 and 910,690 is: 1,938,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,817 : 910,690 = 910,690 : x
  2. Step 2: Convert to fraction form
    427,817/910,690 = 910,690/x
  3. Step 3: Cross multiply
    427,817x = 910,690 × 910,690
  4. Step 4: Simplify right side
    427,817x = 829,356,276,100
  5. Step 5: Solve for x
    x = 829,356,276,100/427,817
  6. Step 6: Final answer
    x = 1,938,577.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.