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Finding the Third Proportional to 773,440,796 and 1,226,725,091.50

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Solution

The third proportional to 773,440,796 and 1,226,725,091.50 is: 1,945,662,108.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,440,796 : 1,226,725,091.50 = 1,226,725,091.50 : x
  2. Step 2: Convert to fraction form
    773,440,796/1,226,725,091.50 = 1,226,725,091.50/x
  3. Step 3: Cross multiply
    773,440,796x = 1,226,725,091.50 × 1,226,725,091.50
  4. Step 4: Simplify right side
    773,440,796x = 1,504,854,450,115,683,328
  5. Step 5: Solve for x
    x = 1,504,854,450,115,683,328/773,440,796
  6. Step 6: Final answer
    x = 1,945,662,108.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.