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Finding the Third Proportional to 305,262 and 663,072

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Solution

The third proportional to 305,262 and 663,072 is: 1,440,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,262 : 663,072 = 663,072 : x
  2. Step 2: Convert to fraction form
    305,262/663,072 = 663,072/x
  3. Step 3: Cross multiply
    305,262x = 663,072 × 663,072
  4. Step 4: Simplify right side
    305,262x = 439,664,477,184
  5. Step 5: Solve for x
    x = 439,664,477,184/305,262
  6. Step 6: Final answer
    x = 1,440,285.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.