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Finding the Third Proportional to 78,175,164 and 171,767,220

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Solution

The third proportional to 78,175,164 and 171,767,220 is: 377,408,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175,164 : 171,767,220 = 171,767,220 : x
  2. Step 2: Convert to fraction form
    78,175,164/171,767,220 = 171,767,220/x
  3. Step 3: Cross multiply
    78,175,164x = 171,767,220 × 171,767,220
  4. Step 4: Simplify right side
    78,175,164x = 29,503,977,866,528,400
  5. Step 5: Solve for x
    x = 29,503,977,866,528,400/78,175,164
  6. Step 6: Final answer
    x = 377,408,582.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.