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Finding the Third Proportional to 742,888,512 and 1,116,204,768

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Solution

The third proportional to 742,888,512 and 1,116,204,768 is: 1,677,119,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,888,512 : 1,116,204,768 = 1,116,204,768 : x
  2. Step 2: Convert to fraction form
    742,888,512/1,116,204,768 = 1,116,204,768/x
  3. Step 3: Cross multiply
    742,888,512x = 1,116,204,768 × 1,116,204,768
  4. Step 4: Simplify right side
    742,888,512x = 1,245,913,084,105,933,824
  5. Step 5: Solve for x
    x = 1,245,913,084,105,933,824/742,888,512
  6. Step 6: Final answer
    x = 1,677,119,869.24

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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.