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Finding the Third Proportional to 646,010 and 991,608

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Solution

The third proportional to 646,010 and 991,608 is: 1,522,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,010 : 991,608 = 991,608 : x
  2. Step 2: Convert to fraction form
    646,010/991,608 = 991,608/x
  3. Step 3: Cross multiply
    646,010x = 991,608 × 991,608
  4. Step 4: Simplify right side
    646,010x = 983,286,425,664
  5. Step 5: Solve for x
    x = 983,286,425,664/646,010
  6. Step 6: Final answer
    x = 1,522,091.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.