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Finding the Third Proportional to 490,712 and 738,526

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Solution

The third proportional to 490,712 and 738,526 is: 1,111,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,712 : 738,526 = 738,526 : x
  2. Step 2: Convert to fraction form
    490,712/738,526 = 738,526/x
  3. Step 3: Cross multiply
    490,712x = 738,526 × 738,526
  4. Step 4: Simplify right side
    490,712x = 545,420,652,676
  5. Step 5: Solve for x
    x = 545,420,652,676/490,712
  6. Step 6: Final answer
    x = 1,111,488.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.