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Finding the Third Proportional to 422,910 and 912,312

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Solution

The third proportional to 422,910 and 912,312 is: 1,968,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,910 : 912,312 = 912,312 : x
  2. Step 2: Convert to fraction form
    422,910/912,312 = 912,312/x
  3. Step 3: Cross multiply
    422,910x = 912,312 × 912,312
  4. Step 4: Simplify right side
    422,910x = 832,313,185,344
  5. Step 5: Solve for x
    x = 832,313,185,344/422,910
  6. Step 6: Final answer
    x = 1,968,062.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.