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Finding the Third Proportional to 486,407 and 777,038

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Solution

The third proportional to 486,407 and 777,038 is: 1,241,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,407 : 777,038 = 777,038 : x
  2. Step 2: Convert to fraction form
    486,407/777,038 = 777,038/x
  3. Step 3: Cross multiply
    486,407x = 777,038 × 777,038
  4. Step 4: Simplify right side
    486,407x = 603,788,053,444
  5. Step 5: Solve for x
    x = 603,788,053,444/486,407
  6. Step 6: Final answer
    x = 1,241,322.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.