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Finding the Third Proportional to 29,965,473 and 64,478,814.75

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Solution

The third proportional to 29,965,473 and 64,478,814.75 is: 138,743,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965,473 : 64,478,814.75 = 64,478,814.75 : x
  2. Step 2: Convert to fraction form
    29,965,473/64,478,814.75 = 64,478,814.75/x
  3. Step 3: Cross multiply
    29,965,473x = 64,478,814.75 × 64,478,814.75
  4. Step 4: Simplify right side
    29,965,473x = 4,157,517,551,564,817.50
  5. Step 5: Solve for x
    x = 4,157,517,551,564,817.50/29,965,473
  6. Step 6: Final answer
    x = 138,743,598.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.