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Finding the Third Proportional to 375,672 and 813,972

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Solution

The third proportional to 375,672 and 813,972 is: 1,763,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,672 : 813,972 = 813,972 : x
  2. Step 2: Convert to fraction form
    375,672/813,972 = 813,972/x
  3. Step 3: Cross multiply
    375,672x = 813,972 × 813,972
  4. Step 4: Simplify right side
    375,672x = 662,550,416,784
  5. Step 5: Solve for x
    x = 662,550,416,784/375,672
  6. Step 6: Final answer
    x = 1,763,640.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.