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Finding the Third Proportional to 451,870,717.50 and 698,255,484.75

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Solution

The third proportional to 451,870,717.50 and 698,255,484.75 is: 1,078,982,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,870,717.50 : 698,255,484.75 = 698,255,484.75 : x
  2. Step 2: Convert to fraction form
    451,870,717.50/698,255,484.75 = 698,255,484.75/x
  3. Step 3: Cross multiply
    451,870,717.50x = 698,255,484.75 × 698,255,484.75
  4. Step 4: Simplify right side
    451,870,717.50x = 487,560,721,983,457,472
  5. Step 5: Solve for x
    x = 487,560,721,983,457,472/451,870,717.50
  6. Step 6: Final answer
    x = 1,078,982,777.82

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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.