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Finding the Third Proportional to 20,213,080 and 31,100,316

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Solution

The third proportional to 20,213,080 and 31,100,316 is: 47,851,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,080 : 31,100,316 = 31,100,316 : x
  2. Step 2: Convert to fraction form
    20,213,080/31,100,316 = 31,100,316/x
  3. Step 3: Cross multiply
    20,213,080x = 31,100,316 × 31,100,316
  4. Step 4: Simplify right side
    20,213,080x = 967,229,655,299,856
  5. Step 5: Solve for x
    x = 967,229,655,299,856/20,213,080
  6. Step 6: Final answer
    x = 47,851,671.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.