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Finding the Third Proportional to 78,509,685 and 171,295,698

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Solution

The third proportional to 78,509,685 and 171,295,698 is: 373,740,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509,685 : 171,295,698 = 171,295,698 : x
  2. Step 2: Convert to fraction form
    78,509,685/171,295,698 = 171,295,698/x
  3. Step 3: Cross multiply
    78,509,685x = 171,295,698 × 171,295,698
  4. Step 4: Simplify right side
    78,509,685x = 29,342,216,153,307,204
  5. Step 5: Solve for x
    x = 29,342,216,153,307,204/78,509,685
  6. Step 6: Final answer
    x = 373,740,082.56

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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.