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Finding the Third Proportional to 145,355,936 and 218,140,214

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Solution

The third proportional to 145,355,936 and 218,140,214 is: 327,369,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,355,936 : 218,140,214 = 218,140,214 : x
  2. Step 2: Convert to fraction form
    145,355,936/218,140,214 = 218,140,214/x
  3. Step 3: Cross multiply
    145,355,936x = 218,140,214 × 218,140,214
  4. Step 4: Simplify right side
    145,355,936x = 47,585,152,963,965,792
  5. Step 5: Solve for x
    x = 47,585,152,963,965,792/145,355,936
  6. Step 6: Final answer
    x = 327,369,863.75

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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.