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Finding the Third Proportional to 149,190,127.50 and 313,840,309.50

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Solution

The third proportional to 149,190,127.50 and 313,840,309.50 is: 660,202,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,190,127.50 : 313,840,309.50 = 313,840,309.50 : x
  2. Step 2: Convert to fraction form
    149,190,127.50/313,840,309.50 = 313,840,309.50/x
  3. Step 3: Cross multiply
    149,190,127.50x = 313,840,309.50 × 313,840,309.50
  4. Step 4: Simplify right side
    149,190,127.50x = 98,495,739,867,055,792
  5. Step 5: Solve for x
    x = 98,495,739,867,055,792/149,190,127.50
  6. Step 6: Final answer
    x = 660,202,799.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.