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Finding the Third Proportional to 513,858,712.50 and 770,945,580

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Solution

The third proportional to 513,858,712.50 and 770,945,580 is: 1,156,654,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,858,712.50 : 770,945,580 = 770,945,580 : x
  2. Step 2: Convert to fraction form
    513,858,712.50/770,945,580 = 770,945,580/x
  3. Step 3: Cross multiply
    513,858,712.50x = 770,945,580 × 770,945,580
  4. Step 4: Simplify right side
    513,858,712.50x = 594,357,087,321,536,384
  5. Step 5: Solve for x
    x = 594,357,087,321,536,384/513,858,712.50
  6. Step 6: Final answer
    x = 1,156,654,685.16

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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.