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Finding the Third Proportional to 157,262,266 and 246,160,546

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Solution

The third proportional to 157,262,266 and 246,160,546 is: 385,311,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,262,266 : 246,160,546 = 246,160,546 : x
  2. Step 2: Convert to fraction form
    157,262,266/246,160,546 = 246,160,546/x
  3. Step 3: Cross multiply
    157,262,266x = 246,160,546 × 246,160,546
  4. Step 4: Simplify right side
    157,262,266x = 60,595,014,407,018,112
  5. Step 5: Solve for x
    x = 60,595,014,407,018,112/157,262,266
  6. Step 6: Final answer
    x = 385,311,848.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.