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Finding the Third Proportional to 51,043,644 and 78,457,772

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Solution

The third proportional to 51,043,644 and 78,457,772 is: 120,595,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,043,644 : 78,457,772 = 78,457,772 : x
  2. Step 2: Convert to fraction form
    51,043,644/78,457,772 = 78,457,772/x
  3. Step 3: Cross multiply
    51,043,644x = 78,457,772 × 78,457,772
  4. Step 4: Simplify right side
    51,043,644x = 6,155,621,987,203,984
  5. Step 5: Solve for x
    x = 6,155,621,987,203,984/51,043,644
  6. Step 6: Final answer
    x = 120,595,269.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.