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Finding the Third Proportional to 121,795,830 and 287,416,362

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Solution

The third proportional to 121,795,830 and 287,416,362 is: 678,251,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,795,830 : 287,416,362 = 287,416,362 : x
  2. Step 2: Convert to fraction form
    121,795,830/287,416,362 = 287,416,362/x
  3. Step 3: Cross multiply
    121,795,830x = 287,416,362 × 287,416,362
  4. Step 4: Simplify right side
    121,795,830x = 82,608,165,145,315,040
  5. Step 5: Solve for x
    x = 82,608,165,145,315,040/121,795,830
  6. Step 6: Final answer
    x = 678,251,177.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.