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Finding the Third Proportional to 370,000 and 812,736

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Solution

The third proportional to 370,000 and 812,736 is: 1,785,242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,000 : 812,736 = 812,736 : x
  2. Step 2: Convert to fraction form
    370,000/812,736 = 812,736/x
  3. Step 3: Cross multiply
    370,000x = 812,736 × 812,736
  4. Step 4: Simplify right side
    370,000x = 660,539,805,696
  5. Step 5: Solve for x
    x = 660,539,805,696/370,000
  6. Step 6: Final answer
    x = 1,785,242.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.