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Finding the Third Proportional to 81,118,456 and 123,720,829

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Solution

The third proportional to 81,118,456 and 123,720,829 is: 188,697,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,118,456 : 123,720,829 = 123,720,829 : x
  2. Step 2: Convert to fraction form
    81,118,456/123,720,829 = 123,720,829/x
  3. Step 3: Cross multiply
    81,118,456x = 123,720,829 × 123,720,829
  4. Step 4: Simplify right side
    81,118,456x = 15,306,843,528,447,240
  5. Step 5: Solve for x
    x = 15,306,843,528,447,240/81,118,456
  6. Step 6: Final answer
    x = 188,697,422.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.