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Finding the Third Proportional to 790,880 and 1,225,642

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Solution

The third proportional to 790,880 and 1,225,642 is: 1,899,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,880 : 1,225,642 = 1,225,642 : x
  2. Step 2: Convert to fraction form
    790,880/1,225,642 = 1,225,642/x
  3. Step 3: Cross multiply
    790,880x = 1,225,642 × 1,225,642
  4. Step 4: Simplify right side
    790,880x = 1,502,198,312,164
  5. Step 5: Solve for x
    x = 1,502,198,312,164/790,880
  6. Step 6: Final answer
    x = 1,899,401.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.