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Finding the Third Proportional to 145,355,942 and 218,140,223

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Solution

The third proportional to 145,355,942 and 218,140,223 is: 327,369,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,355,942 : 218,140,223 = 218,140,223 : x
  2. Step 2: Convert to fraction form
    145,355,942/218,140,223 = 218,140,223/x
  3. Step 3: Cross multiply
    145,355,942x = 218,140,223 × 218,140,223
  4. Step 4: Simplify right side
    145,355,942x = 47,585,156,890,489,728
  5. Step 5: Solve for x
    x = 47,585,156,890,489,728/145,355,942
  6. Step 6: Final answer
    x = 327,369,877.25

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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.