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Finding the Third Proportional to 78,640,282 and 117,960,435

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Solution

The third proportional to 78,640,282 and 117,960,435 is: 176,940,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640,282 : 117,960,435 = 117,960,435 : x
  2. Step 2: Convert to fraction form
    78,640,282/117,960,435 = 117,960,435/x
  3. Step 3: Cross multiply
    78,640,282x = 117,960,435 × 117,960,435
  4. Step 4: Simplify right side
    78,640,282x = 13,914,664,225,389,224
  5. Step 5: Solve for x
    x = 13,914,664,225,389,224/78,640,282
  6. Step 6: Final answer
    x = 176,940,670.50

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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.