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Finding the Third Proportional to 279,824 and 657,791

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Solution

The third proportional to 279,824 and 657,791 is: 1,546,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,824 : 657,791 = 657,791 : x
  2. Step 2: Convert to fraction form
    279,824/657,791 = 657,791/x
  3. Step 3: Cross multiply
    279,824x = 657,791 × 657,791
  4. Step 4: Simplify right side
    279,824x = 432,688,999,681
  5. Step 5: Solve for x
    x = 432,688,999,681/279,824
  6. Step 6: Final answer
    x = 1,546,289.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.