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Finding the Third Proportional to 488,948 and 777,970

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Solution

The third proportional to 488,948 and 777,970 is: 1,237,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,948 : 777,970 = 777,970 : x
  2. Step 2: Convert to fraction form
    488,948/777,970 = 777,970/x
  3. Step 3: Cross multiply
    488,948x = 777,970 × 777,970
  4. Step 4: Simplify right side
    488,948x = 605,237,320,900
  5. Step 5: Solve for x
    x = 605,237,320,900/488,948
  6. Step 6: Final answer
    x = 1,237,835.76

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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.