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Finding the Third Proportional to 280,457 and 608,236

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Solution

The third proportional to 280,457 and 608,236 is: 1,319,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,457 : 608,236 = 608,236 : x
  2. Step 2: Convert to fraction form
    280,457/608,236 = 608,236/x
  3. Step 3: Cross multiply
    280,457x = 608,236 × 608,236
  4. Step 4: Simplify right side
    280,457x = 369,951,031,696
  5. Step 5: Solve for x
    x = 369,951,031,696/280,457
  6. Step 6: Final answer
    x = 1,319,100.72

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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.