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Finding the Third Proportional to 78,027,465 and 171,500,010

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Solution

The third proportional to 78,027,465 and 171,500,010 is: 376,947,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,027,465 : 171,500,010 = 171,500,010 : x
  2. Step 2: Convert to fraction form
    78,027,465/171,500,010 = 171,500,010/x
  3. Step 3: Cross multiply
    78,027,465x = 171,500,010 × 171,500,010
  4. Step 4: Simplify right side
    78,027,465x = 29,412,253,430,000,100
  5. Step 5: Solve for x
    x = 29,412,253,430,000,100/78,027,465
  6. Step 6: Final answer
    x = 376,947,443.19

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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.