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Finding the Third Proportional to 370,275 and 766,805

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Solution

The third proportional to 370,275 and 766,805 is: 1,587,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,275 : 766,805 = 766,805 : x
  2. Step 2: Convert to fraction form
    370,275/766,805 = 766,805/x
  3. Step 3: Cross multiply
    370,275x = 766,805 × 766,805
  4. Step 4: Simplify right side
    370,275x = 587,989,908,025
  5. Step 5: Solve for x
    x = 587,989,908,025/370,275
  6. Step 6: Final answer
    x = 1,587,981.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.