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Finding the Third Proportional to 360,040 and 777,842

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Solution

The third proportional to 360,040 and 777,842 is: 1,680,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,040 : 777,842 = 777,842 : x
  2. Step 2: Convert to fraction form
    360,040/777,842 = 777,842/x
  3. Step 3: Cross multiply
    360,040x = 777,842 × 777,842
  4. Step 4: Simplify right side
    360,040x = 605,038,176,964
  5. Step 5: Solve for x
    x = 605,038,176,964/360,040
  6. Step 6: Final answer
    x = 1,680,474.88

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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.