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Finding the Third Proportional to 145,429,786 and 311,014,961

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Solution

The third proportional to 145,429,786 and 311,014,961 is: 665,134,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,786 : 311,014,961 = 311,014,961 : x
  2. Step 2: Convert to fraction form
    145,429,786/311,014,961 = 311,014,961/x
  3. Step 3: Cross multiply
    145,429,786x = 311,014,961 × 311,014,961
  4. Step 4: Simplify right side
    145,429,786x = 96,730,305,965,831,520
  5. Step 5: Solve for x
    x = 96,730,305,965,831,520/145,429,786
  6. Step 6: Final answer
    x = 665,134,073.47

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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.