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Finding the Third Proportional to 91,390,616 and 197,828,656

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Solution

The third proportional to 91,390,616 and 197,828,656 is: 428,229,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,390,616 : 197,828,656 = 197,828,656 : x
  2. Step 2: Convert to fraction form
    91,390,616/197,828,656 = 197,828,656/x
  3. Step 3: Cross multiply
    91,390,616x = 197,828,656 × 197,828,656
  4. Step 4: Simplify right side
    91,390,616x = 39,136,177,134,766,336
  5. Step 5: Solve for x
    x = 39,136,177,134,766,336/91,390,616
  6. Step 6: Final answer
    x = 428,229,711.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.