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Finding the Third Proportional to 742,888,540 and 1,116,204,810

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Solution

The third proportional to 742,888,540 and 1,116,204,810 is: 1,677,119,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,888,540 : 1,116,204,810 = 1,116,204,810 : x
  2. Step 2: Convert to fraction form
    742,888,540/1,116,204,810 = 1,116,204,810/x
  3. Step 3: Cross multiply
    742,888,540x = 1,116,204,810 × 1,116,204,810
  4. Step 4: Simplify right side
    742,888,540x = 1,245,913,177,867,136,000
  5. Step 5: Solve for x
    x = 1,245,913,177,867,136,000/742,888,540
  6. Step 6: Final answer
    x = 1,677,119,932.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.