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Finding the Third Proportional to 78,581,157 and 165,307,257

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Solution

The third proportional to 78,581,157 and 165,307,257 is: 347,748,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,581,157 : 165,307,257 = 165,307,257 : x
  2. Step 2: Convert to fraction form
    78,581,157/165,307,257 = 165,307,257/x
  3. Step 3: Cross multiply
    78,581,157x = 165,307,257 × 165,307,257
  4. Step 4: Simplify right side
    78,581,157x = 27,326,489,216,864,048
  5. Step 5: Solve for x
    x = 27,326,489,216,864,048/78,581,157
  6. Step 6: Final answer
    x = 347,748,623.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.