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Finding the Third Proportional to 156,421,734 and 213,019,702

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Solution

The third proportional to 156,421,734 and 213,019,702 is: 290,096,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,421,734 : 213,019,702 = 213,019,702 : x
  2. Step 2: Convert to fraction form
    156,421,734/213,019,702 = 213,019,702/x
  3. Step 3: Cross multiply
    156,421,734x = 213,019,702 × 213,019,702
  4. Step 4: Simplify right side
    156,421,734x = 45,377,393,440,168,800
  5. Step 5: Solve for x
    x = 45,377,393,440,168,800/156,421,734
  6. Step 6: Final answer
    x = 290,096,473.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.