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Finding the Third Proportional to 371,880 and 812,880

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Solution

The third proportional to 371,880 and 812,880 is: 1,776,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,880 : 812,880 = 812,880 : x
  2. Step 2: Convert to fraction form
    371,880/812,880 = 812,880/x
  3. Step 3: Cross multiply
    371,880x = 812,880 × 812,880
  4. Step 4: Simplify right side
    371,880x = 660,773,894,400
  5. Step 5: Solve for x
    x = 660,773,894,400/371,880
  6. Step 6: Final answer
    x = 1,776,847.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.