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Finding the Third Proportional to 369,303 and 803,311

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Solution

The third proportional to 369,303 and 803,311 is: 1,747,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,303 : 803,311 = 803,311 : x
  2. Step 2: Convert to fraction form
    369,303/803,311 = 803,311/x
  3. Step 3: Cross multiply
    369,303x = 803,311 × 803,311
  4. Step 4: Simplify right side
    369,303x = 645,308,562,721
  5. Step 5: Solve for x
    x = 645,308,562,721/369,303
  6. Step 6: Final answer
    x = 1,747,368.86

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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.