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Finding the Third Proportional to 280,278 and 435,186

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Solution

The third proportional to 280,278 and 435,186 is: 675,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,278 : 435,186 = 435,186 : x
  2. Step 2: Convert to fraction form
    280,278/435,186 = 435,186/x
  3. Step 3: Cross multiply
    280,278x = 435,186 × 435,186
  4. Step 4: Simplify right side
    280,278x = 189,386,854,596
  5. Step 5: Solve for x
    x = 189,386,854,596/280,278
  6. Step 6: Final answer
    x = 675,710.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.