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Finding the Third Proportional to 642,240 and 1,411,596

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Solution

The third proportional to 642,240 and 1,411,596 is: 3,102,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,240 : 1,411,596 = 1,411,596 : x
  2. Step 2: Convert to fraction form
    642,240/1,411,596 = 1,411,596/x
  3. Step 3: Cross multiply
    642,240x = 1,411,596 × 1,411,596
  4. Step 4: Simplify right side
    642,240x = 1,992,603,267,216
  5. Step 5: Solve for x
    x = 1,992,603,267,216/642,240
  6. Step 6: Final answer
    x = 3,102,583.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.