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Finding the Third Proportional to 102,792,222 and 224,420,881.50

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Solution

The third proportional to 102,792,222 and 224,420,881.50 is: 489,966,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,792,222 : 224,420,881.50 = 224,420,881.50 : x
  2. Step 2: Convert to fraction form
    102,792,222/224,420,881.50 = 224,420,881.50/x
  3. Step 3: Cross multiply
    102,792,222x = 224,420,881.50 × 224,420,881.50
  4. Step 4: Simplify right side
    102,792,222x = 50,364,732,053,237,040
  5. Step 5: Solve for x
    x = 50,364,732,053,237,040/102,792,222
  6. Step 6: Final answer
    x = 489,966,371.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.