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Finding the Third Proportional to 78,583,278 and 165,310,590

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Solution

The third proportional to 78,583,278 and 165,310,590 is: 347,753,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,583,278 : 165,310,590 = 165,310,590 : x
  2. Step 2: Convert to fraction form
    78,583,278/165,310,590 = 165,310,590/x
  3. Step 3: Cross multiply
    78,583,278x = 165,310,590 × 165,310,590
  4. Step 4: Simplify right side
    78,583,278x = 27,327,591,166,148,100
  5. Step 5: Solve for x
    x = 27,327,591,166,148,100/78,583,278
  6. Step 6: Final answer
    x = 347,753,260.77

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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.