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Finding the Third Proportional to 133,729,096.50 and 291,199,036.50

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Solution

The third proportional to 133,729,096.50 and 291,199,036.50 is: 634,094,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,729,096.50 : 291,199,036.50 = 291,199,036.50 : x
  2. Step 2: Convert to fraction form
    133,729,096.50/291,199,036.50 = 291,199,036.50/x
  3. Step 3: Cross multiply
    133,729,096.50x = 291,199,036.50 × 291,199,036.50
  4. Step 4: Simplify right side
    133,729,096.50x = 84,796,878,858,528,336
  5. Step 5: Solve for x
    x = 84,796,878,858,528,336/133,729,096.50
  6. Step 6: Final answer
    x = 634,094,457.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.