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Finding the Third Proportional to 369,304 and 803,311.50

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Solution

The third proportional to 369,304 and 803,311.50 is: 1,747,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,304 : 803,311.50 = 803,311.50 : x
  2. Step 2: Convert to fraction form
    369,304/803,311.50 = 803,311.50/x
  3. Step 3: Cross multiply
    369,304x = 803,311.50 × 803,311.50
  4. Step 4: Simplify right side
    369,304x = 645,309,366,032.25
  5. Step 5: Solve for x
    x = 645,309,366,032.25/369,304
  6. Step 6: Final answer
    x = 1,747,366.31

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