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Finding the Third Proportional to 145,379,076 and 311,193,414

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Solution

The third proportional to 145,379,076 and 311,193,414 is: 666,129,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,379,076 : 311,193,414 = 311,193,414 : x
  2. Step 2: Convert to fraction form
    145,379,076/311,193,414 = 311,193,414/x
  3. Step 3: Cross multiply
    145,379,076x = 311,193,414 × 311,193,414
  4. Step 4: Simplify right side
    145,379,076x = 96,841,340,916,975,392
  5. Step 5: Solve for x
    x = 96,841,340,916,975,392/145,379,076
  6. Step 6: Final answer
    x = 666,129,841.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.