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Finding the Third Proportional to 348,636 and 736,440

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Solution

The third proportional to 348,636 and 736,440 is: 1,555,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,636 : 736,440 = 736,440 : x
  2. Step 2: Convert to fraction form
    348,636/736,440 = 736,440/x
  3. Step 3: Cross multiply
    348,636x = 736,440 × 736,440
  4. Step 4: Simplify right side
    348,636x = 542,343,873,600
  5. Step 5: Solve for x
    x = 542,343,873,600/348,636
  6. Step 6: Final answer
    x = 1,555,616.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.