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Finding the Third Proportional to 369,380 and 808,822

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Solution

The third proportional to 369,380 and 808,822 is: 1,771,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,380 : 808,822 = 808,822 : x
  2. Step 2: Convert to fraction form
    369,380/808,822 = 808,822/x
  3. Step 3: Cross multiply
    369,380x = 808,822 × 808,822
  4. Step 4: Simplify right side
    369,380x = 654,193,027,684
  5. Step 5: Solve for x
    x = 654,193,027,684/369,380
  6. Step 6: Final answer
    x = 1,771,056.98

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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.