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Finding the Third Proportional to 369,260 and 803,320

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Solution

The third proportional to 369,260 and 803,320 is: 1,747,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,260 : 803,320 = 803,320 : x
  2. Step 2: Convert to fraction form
    369,260/803,320 = 803,320/x
  3. Step 3: Cross multiply
    369,260x = 803,320 × 803,320
  4. Step 4: Simplify right side
    369,260x = 645,323,022,400
  5. Step 5: Solve for x
    x = 645,323,022,400/369,260
  6. Step 6: Final answer
    x = 1,747,611.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.