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Finding the Third Proportional to 353,420 and 736,648

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Solution

The third proportional to 353,420 and 736,648 is: 1,535,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,420 : 736,648 = 736,648 : x
  2. Step 2: Convert to fraction form
    353,420/736,648 = 736,648/x
  3. Step 3: Cross multiply
    353,420x = 736,648 × 736,648
  4. Step 4: Simplify right side
    353,420x = 542,650,275,904
  5. Step 5: Solve for x
    x = 542,650,275,904/353,420
  6. Step 6: Final answer
    x = 1,535,426.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.