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Finding the Third Proportional to 51,043,684 and 78,457,838

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Solution

The third proportional to 51,043,684 and 78,457,838 is: 120,595,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,043,684 : 78,457,838 = 78,457,838 : x
  2. Step 2: Convert to fraction form
    51,043,684/78,457,838 = 78,457,838/x
  3. Step 3: Cross multiply
    51,043,684x = 78,457,838 × 78,457,838
  4. Step 4: Simplify right side
    51,043,684x = 6,155,632,343,634,244
  5. Step 5: Solve for x
    x = 6,155,632,343,634,244/51,043,684
  6. Step 6: Final answer
    x = 120,595,377.55

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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.