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Finding the Third Proportional to 360,488 and 777,971

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Solution

The third proportional to 360,488 and 777,971 is: 1,678,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,488 : 777,971 = 777,971 : x
  2. Step 2: Convert to fraction form
    360,488/777,971 = 777,971/x
  3. Step 3: Cross multiply
    360,488x = 777,971 × 777,971
  4. Step 4: Simplify right side
    360,488x = 605,238,876,841
  5. Step 5: Solve for x
    x = 605,238,876,841/360,488
  6. Step 6: Final answer
    x = 1,678,943.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.