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Finding the Third Proportional to 300,331,071 and 464,786,221.50

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Solution

The third proportional to 300,331,071 and 464,786,221.50 is: 719,293,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,331,071 : 464,786,221.50 = 464,786,221.50 : x
  2. Step 2: Convert to fraction form
    300,331,071/464,786,221.50 = 464,786,221.50/x
  3. Step 3: Cross multiply
    300,331,071x = 464,786,221.50 × 464,786,221.50
  4. Step 4: Simplify right side
    300,331,071x = 216,026,231,696,247,072
  5. Step 5: Solve for x
    x = 216,026,231,696,247,072/300,331,071
  6. Step 6: Final answer
    x = 719,293,648.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.