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Finding the Third Proportional to 280,178 and 619,237

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Solution

The third proportional to 280,178 and 619,237 is: 1,368,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,178 : 619,237 = 619,237 : x
  2. Step 2: Convert to fraction form
    280,178/619,237 = 619,237/x
  3. Step 3: Cross multiply
    280,178x = 619,237 × 619,237
  4. Step 4: Simplify right side
    280,178x = 383,454,462,169
  5. Step 5: Solve for x
    x = 383,454,462,169/280,178
  6. Step 6: Final answer
    x = 1,368,610.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.