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Finding the Third Proportional to 476,256 and 646,806

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Solution

The third proportional to 476,256 and 646,806 is: 878,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,256 : 646,806 = 646,806 : x
  2. Step 2: Convert to fraction form
    476,256/646,806 = 646,806/x
  3. Step 3: Cross multiply
    476,256x = 646,806 × 646,806
  4. Step 4: Simplify right side
    476,256x = 418,358,001,636
  5. Step 5: Solve for x
    x = 418,358,001,636/476,256
  6. Step 6: Final answer
    x = 878,430.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.