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Finding the Third Proportional to 280,330,902 and 435,188,913.75

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Solution

The third proportional to 280,330,902 and 435,188,913.75 is: 675,592,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,330,902 : 435,188,913.75 = 435,188,913.75 : x
  2. Step 2: Convert to fraction form
    280,330,902/435,188,913.75 = 435,188,913.75/x
  3. Step 3: Cross multiply
    280,330,902x = 435,188,913.75 × 435,188,913.75
  4. Step 4: Simplify right side
    280,330,902x = 189,389,390,650,904,928
  5. Step 5: Solve for x
    x = 189,389,390,650,904,928/280,330,902
  6. Step 6: Final answer
    x = 675,592,270.78

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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.