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Finding the Third Proportional to 156,421,730 and 213,019,696

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Solution

The third proportional to 156,421,730 and 213,019,696 is: 290,096,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,421,730 : 213,019,696 = 213,019,696 : x
  2. Step 2: Convert to fraction form
    156,421,730/213,019,696 = 213,019,696/x
  3. Step 3: Cross multiply
    156,421,730x = 213,019,696 × 213,019,696
  4. Step 4: Simplify right side
    156,421,730x = 45,377,390,883,932,416
  5. Step 5: Solve for x
    x = 45,377,390,883,932,416/156,421,730
  6. Step 6: Final answer
    x = 290,096,464.76

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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.