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Finding the Third Proportional to 144,192,480 and 223,413,156

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Solution

The third proportional to 144,192,480 and 223,413,156 is: 346,158,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,192,480 : 223,413,156 = 223,413,156 : x
  2. Step 2: Convert to fraction form
    144,192,480/223,413,156 = 223,413,156/x
  3. Step 3: Cross multiply
    144,192,480x = 223,413,156 × 223,413,156
  4. Step 4: Simplify right side
    144,192,480x = 49,913,438,273,880,336
  5. Step 5: Solve for x
    x = 49,913,438,273,880,336/144,192,480
  6. Step 6: Final answer
    x = 346,158,400.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.