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Finding the Third Proportional to 620,906 and 910,912

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Solution

The third proportional to 620,906 and 910,912 is: 1,336,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,906 : 910,912 = 910,912 : x
  2. Step 2: Convert to fraction form
    620,906/910,912 = 910,912/x
  3. Step 3: Cross multiply
    620,906x = 910,912 × 910,912
  4. Step 4: Simplify right side
    620,906x = 829,760,671,744
  5. Step 5: Solve for x
    x = 829,760,671,744/620,906
  6. Step 6: Final answer
    x = 1,336,370.84

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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.