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Finding the Third Proportional to 756,818 and 1,138,416

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Solution

The third proportional to 756,818 and 1,138,416 is: 1,712,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,818 : 1,138,416 = 1,138,416 : x
  2. Step 2: Convert to fraction form
    756,818/1,138,416 = 1,138,416/x
  3. Step 3: Cross multiply
    756,818x = 1,138,416 × 1,138,416
  4. Step 4: Simplify right side
    756,818x = 1,295,990,989,056
  5. Step 5: Solve for x
    x = 1,295,990,989,056/756,818
  6. Step 6: Final answer
    x = 1,712,420.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.