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Finding the Third Proportional to 20,180,982 and 31,308,058

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Solution

The third proportional to 20,180,982 and 31,308,058 is: 48,570,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180,982 : 31,308,058 = 31,308,058 : x
  2. Step 2: Convert to fraction form
    20,180,982/31,308,058 = 31,308,058/x
  3. Step 3: Cross multiply
    20,180,982x = 31,308,058 × 31,308,058
  4. Step 4: Simplify right side
    20,180,982x = 980,194,495,731,364
  5. Step 5: Solve for x
    x = 980,194,495,731,364/20,180,982
  6. Step 6: Final answer
    x = 48,570,208.12

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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.