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Finding the Third Proportional to 31,407,617 and 69,015,033

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Solution

The third proportional to 31,407,617 and 69,015,033 is: 151,653,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407,617 : 69,015,033 = 69,015,033 : x
  2. Step 2: Convert to fraction form
    31,407,617/69,015,033 = 69,015,033/x
  3. Step 3: Cross multiply
    31,407,617x = 69,015,033 × 69,015,033
  4. Step 4: Simplify right side
    31,407,617x = 4,763,074,779,991,089
  5. Step 5: Solve for x
    x = 4,763,074,779,991,089/31,407,617
  6. Step 6: Final answer
    x = 151,653,491.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.