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Finding the Third Proportional to 316,476 and 452,236.50

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Solution

The third proportional to 316,476 and 452,236.50 is: 646,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,476 : 452,236.50 = 452,236.50 : x
  2. Step 2: Convert to fraction form
    316,476/452,236.50 = 452,236.50/x
  3. Step 3: Cross multiply
    316,476x = 452,236.50 × 452,236.50
  4. Step 4: Simplify right side
    316,476x = 204,517,851,932.25
  5. Step 5: Solve for x
    x = 204,517,851,932.25/316,476
  6. Step 6: Final answer
    x = 646,234.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.