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Finding the Third Proportional to 306,216 and 450,252

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Solution

The third proportional to 306,216 and 450,252 is: 662,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,216 : 450,252 = 450,252 : x
  2. Step 2: Convert to fraction form
    306,216/450,252 = 450,252/x
  3. Step 3: Cross multiply
    306,216x = 450,252 × 450,252
  4. Step 4: Simplify right side
    306,216x = 202,726,863,504
  5. Step 5: Solve for x
    x = 202,726,863,504/306,216
  6. Step 6: Final answer
    x = 662,038.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.