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Finding the Third Proportional to 149,343,211 and 234,275,219.50

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Solution

The third proportional to 149,343,211 and 234,275,219.50 is: 367,508,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,343,211 : 234,275,219.50 = 234,275,219.50 : x
  2. Step 2: Convert to fraction form
    149,343,211/234,275,219.50 = 234,275,219.50/x
  3. Step 3: Cross multiply
    149,343,211x = 234,275,219.50 × 234,275,219.50
  4. Step 4: Simplify right side
    149,343,211x = 54,884,878,471,773,184
  5. Step 5: Solve for x
    x = 54,884,878,471,773,184/149,343,211
  6. Step 6: Final answer
    x = 367,508,359.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.