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Finding the Third Proportional to 102,160,242 and 158,623,297.50

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Solution

The third proportional to 102,160,242 and 158,623,297.50 is: 246,292,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,160,242 : 158,623,297.50 = 158,623,297.50 : x
  2. Step 2: Convert to fraction form
    102,160,242/158,623,297.50 = 158,623,297.50/x
  3. Step 3: Cross multiply
    102,160,242x = 158,623,297.50 × 158,623,297.50
  4. Step 4: Simplify right side
    102,160,242x = 25,161,350,509,773,508
  5. Step 5: Solve for x
    x = 25,161,350,509,773,508/102,160,242
  6. Step 6: Final answer
    x = 246,292,980.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.