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Finding the Third Proportional to 20,131,178 and 30,782,254

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Solution

The third proportional to 20,131,178 and 30,782,254 is: 47,068,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131,178 : 30,782,254 = 30,782,254 : x
  2. Step 2: Convert to fraction form
    20,131,178/30,782,254 = 30,782,254/x
  3. Step 3: Cross multiply
    20,131,178x = 30,782,254 × 30,782,254
  4. Step 4: Simplify right side
    20,131,178x = 947,547,161,320,516
  5. Step 5: Solve for x
    x = 947,547,161,320,516/20,131,178
  6. Step 6: Final answer
    x = 47,068,639.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.