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Finding the Third Proportional to 145,429,808 and 311,015,008

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Solution

The third proportional to 145,429,808 and 311,015,008 is: 665,134,173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,808 : 311,015,008 = 311,015,008 : x
  2. Step 2: Convert to fraction form
    145,429,808/311,015,008 = 311,015,008/x
  3. Step 3: Cross multiply
    145,429,808x = 311,015,008 × 311,015,008
  4. Step 4: Simplify right side
    145,429,808x = 96,730,335,201,240,064
  5. Step 5: Solve for x
    x = 96,730,335,201,240,064/145,429,808
  6. Step 6: Final answer
    x = 665,134,173.88

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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.