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Finding the Third Proportional to 620,921 and 910,938

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Solution

The third proportional to 620,921 and 910,938 is: 1,336,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,921 : 910,938 = 910,938 : x
  2. Step 2: Convert to fraction form
    620,921/910,938 = 910,938/x
  3. Step 3: Cross multiply
    620,921x = 910,938 × 910,938
  4. Step 4: Simplify right side
    620,921x = 829,808,039,844
  5. Step 5: Solve for x
    x = 829,808,039,844/620,921
  6. Step 6: Final answer
    x = 1,336,414.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.