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Finding the Third Proportional to 280,564 and 435,320

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Solution

The third proportional to 280,564 and 435,320 is: 675,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,564 : 435,320 = 435,320 : x
  2. Step 2: Convert to fraction form
    280,564/435,320 = 435,320/x
  3. Step 3: Cross multiply
    280,564x = 435,320 × 435,320
  4. Step 4: Simplify right side
    280,564x = 189,503,502,400
  5. Step 5: Solve for x
    x = 189,503,502,400/280,564
  6. Step 6: Final answer
    x = 675,437.70

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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.