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Finding the Third Proportional to 87,310,840 and 145,509,297

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Solution

The third proportional to 87,310,840 and 145,509,297 is: 242,500,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,310,840 : 145,509,297 = 145,509,297 : x
  2. Step 2: Convert to fraction form
    87,310,840/145,509,297 = 145,509,297/x
  3. Step 3: Cross multiply
    87,310,840x = 145,509,297 × 145,509,297
  4. Step 4: Simplify right side
    87,310,840x = 21,172,955,513,434,208
  5. Step 5: Solve for x
    x = 21,172,955,513,434,208/87,310,840
  6. Step 6: Final answer
    x = 242,500,879.77

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.