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Finding the Third Proportional to 20,180,980 and 31,308,056

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Solution

The third proportional to 20,180,980 and 31,308,056 is: 48,570,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180,980 : 31,308,056 = 31,308,056 : x
  2. Step 2: Convert to fraction form
    20,180,980/31,308,056 = 31,308,056/x
  3. Step 3: Cross multiply
    20,180,980x = 31,308,056 × 31,308,056
  4. Step 4: Simplify right side
    20,180,980x = 980,194,370,499,136
  5. Step 5: Solve for x
    x = 980,194,370,499,136/20,180,980
  6. Step 6: Final answer
    x = 48,570,206.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.