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Finding the Third Proportional to 813,445 and 1,236,752

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Solution

The third proportional to 813,445 and 1,236,752 is: 1,880,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,445 : 1,236,752 = 1,236,752 : x
  2. Step 2: Convert to fraction form
    813,445/1,236,752 = 1,236,752/x
  3. Step 3: Cross multiply
    813,445x = 1,236,752 × 1,236,752
  4. Step 4: Simplify right side
    813,445x = 1,529,555,509,504
  5. Step 5: Solve for x
    x = 1,529,555,509,504/813,445
  6. Step 6: Final answer
    x = 1,880,342.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.