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Finding the Third Proportional to 307,248 and 447,363

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Solution

The third proportional to 307,248 and 447,363 is: 651,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,248 : 447,363 = 447,363 : x
  2. Step 2: Convert to fraction form
    307,248/447,363 = 447,363/x
  3. Step 3: Cross multiply
    307,248x = 447,363 × 447,363
  4. Step 4: Simplify right side
    307,248x = 200,133,653,769
  5. Step 5: Solve for x
    x = 200,133,653,769/307,248
  6. Step 6: Final answer
    x = 651,374.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.