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Finding the Third Proportional to 451,870,740 and 698,255,518.50

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Solution

The third proportional to 451,870,740 and 698,255,518.50 is: 1,078,982,828.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,870,740 : 698,255,518.50 = 698,255,518.50 : x
  2. Step 2: Convert to fraction form
    451,870,740/698,255,518.50 = 698,255,518.50/x
  3. Step 3: Cross multiply
    451,870,740x = 698,255,518.50 × 698,255,518.50
  4. Step 4: Simplify right side
    451,870,740x = 487,560,769,115,703,872
  5. Step 5: Solve for x
    x = 487,560,769,115,703,872/451,870,740
  6. Step 6: Final answer
    x = 1,078,982,828.40

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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.