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Finding the Third Proportional to 369,264 and 553,320

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Solution

The third proportional to 369,264 and 553,320 is: 829,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,264 : 553,320 = 553,320 : x
  2. Step 2: Convert to fraction form
    369,264/553,320 = 553,320/x
  3. Step 3: Cross multiply
    369,264x = 553,320 × 553,320
  4. Step 4: Simplify right side
    369,264x = 306,163,022,400
  5. Step 5: Solve for x
    x = 306,163,022,400/369,264
  6. Step 6: Final answer
    x = 829,116.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.