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Finding the Third Proportional to 775,230,030 and 1,191,584,227.50

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Solution

The third proportional to 775,230,030 and 1,191,584,227.50 is: 1,831,550,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,230,030 : 1,191,584,227.50 = 1,191,584,227.50 : x
  2. Step 2: Convert to fraction form
    775,230,030/1,191,584,227.50 = 1,191,584,227.50/x
  3. Step 3: Cross multiply
    775,230,030x = 1,191,584,227.50 × 1,191,584,227.50
  4. Step 4: Simplify right side
    775,230,030x = 1,419,872,971,226,771,712
  5. Step 5: Solve for x
    x = 1,419,872,971,226,771,712/775,230,030
  6. Step 6: Final answer
    x = 1,831,550,528.59

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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.