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Finding the Third Proportional to 620,469 and 906,072

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Solution

The third proportional to 620,469 and 906,072 is: 1,323,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,469 : 906,072 = 906,072 : x
  2. Step 2: Convert to fraction form
    620,469/906,072 = 906,072/x
  3. Step 3: Cross multiply
    620,469x = 906,072 × 906,072
  4. Step 4: Simplify right side
    620,469x = 820,966,469,184
  5. Step 5: Solve for x
    x = 820,966,469,184/620,469
  6. Step 6: Final answer
    x = 1,323,138.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.