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Finding the Third Proportional to 102,160,240 and 158,623,296

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Solution

The third proportional to 102,160,240 and 158,623,296 is: 246,292,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,160,240 : 158,623,296 = 158,623,296 : x
  2. Step 2: Convert to fraction form
    102,160,240/158,623,296 = 158,623,296/x
  3. Step 3: Cross multiply
    102,160,240x = 158,623,296 × 158,623,296
  4. Step 4: Simplify right side
    102,160,240x = 25,161,350,033,903,616
  5. Step 5: Solve for x
    x = 25,161,350,033,903,616/102,160,240
  6. Step 6: Final answer
    x = 246,292,980.85

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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.