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Finding the Third Proportional to 642,774 and 1,335,368

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Solution

The third proportional to 642,774 and 1,335,368 is: 2,774,237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,774 : 1,335,368 = 1,335,368 : x
  2. Step 2: Convert to fraction form
    642,774/1,335,368 = 1,335,368/x
  3. Step 3: Cross multiply
    642,774x = 1,335,368 × 1,335,368
  4. Step 4: Simplify right side
    642,774x = 1,783,207,695,424
  5. Step 5: Solve for x
    x = 1,783,207,695,424/642,774
  6. Step 6: Final answer
    x = 2,774,237.44

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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.