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Finding the Third Proportional to 78,640,407 and 117,960,617.25

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Solution

The third proportional to 78,640,407 and 117,960,617.25 is: 176,940,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640,407 : 117,960,617.25 = 117,960,617.25 : x
  2. Step 2: Convert to fraction form
    78,640,407/117,960,617.25 = 117,960,617.25/x
  3. Step 3: Cross multiply
    78,640,407x = 117,960,617.25 × 117,960,617.25
  4. Step 4: Simplify right side
    78,640,407x = 13,914,707,222,000,998
  5. Step 5: Solve for x
    x = 13,914,707,222,000,998/78,640,407
  6. Step 6: Final answer
    x = 176,940,936.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.