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Finding the Third Proportional to 762,910 and 1,121,010

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Solution

The third proportional to 762,910 and 1,121,010 is: 1,647,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,910 : 1,121,010 = 1,121,010 : x
  2. Step 2: Convert to fraction form
    762,910/1,121,010 = 1,121,010/x
  3. Step 3: Cross multiply
    762,910x = 1,121,010 × 1,121,010
  4. Step 4: Simplify right side
    762,910x = 1,256,663,420,100
  5. Step 5: Solve for x
    x = 1,256,663,420,100/762,910
  6. Step 6: Final answer
    x = 1,647,197.47

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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.