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Finding the Third Proportional to 370,848 and 811,680

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Solution

The third proportional to 370,848 and 811,680 is: 1,776,534.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,848 : 811,680 = 811,680 : x
  2. Step 2: Convert to fraction form
    370,848/811,680 = 811,680/x
  3. Step 3: Cross multiply
    370,848x = 811,680 × 811,680
  4. Step 4: Simplify right side
    370,848x = 658,824,422,400
  5. Step 5: Solve for x
    x = 658,824,422,400/370,848
  6. Step 6: Final answer
    x = 1,776,534.92

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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.