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Finding the Third Proportional to 488,964 and 777,998

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Solution

The third proportional to 488,964 and 777,998 is: 1,237,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,964 : 777,998 = 777,998 : x
  2. Step 2: Convert to fraction form
    488,964/777,998 = 777,998/x
  3. Step 3: Cross multiply
    488,964x = 777,998 × 777,998
  4. Step 4: Simplify right side
    488,964x = 605,280,888,004
  5. Step 5: Solve for x
    x = 605,280,888,004/488,964
  6. Step 6: Final answer
    x = 1,237,884.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.