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Finding the Third Proportional to 438,815,731.50 and 913,952,247.75

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Solution

The third proportional to 438,815,731.50 and 913,952,247.75 is: 1,903,552,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,815,731.50 : 913,952,247.75 = 913,952,247.75 : x
  2. Step 2: Convert to fraction form
    438,815,731.50/913,952,247.75 = 913,952,247.75/x
  3. Step 3: Cross multiply
    438,815,731.50x = 913,952,247.75 × 913,952,247.75
  4. Step 4: Simplify right side
    438,815,731.50x = 835,308,711,167,277,440
  5. Step 5: Solve for x
    x = 835,308,711,167,277,440/438,815,731.50
  6. Step 6: Final answer
    x = 1,903,552,336.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.