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Finding the Third Proportional to 81,609,952 and 172,430,572

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Solution

The third proportional to 81,609,952 and 172,430,572 is: 364,322,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609,952 : 172,430,572 = 172,430,572 : x
  2. Step 2: Convert to fraction form
    81,609,952/172,430,572 = 172,430,572/x
  3. Step 3: Cross multiply
    81,609,952x = 172,430,572 × 172,430,572
  4. Step 4: Simplify right side
    81,609,952x = 29,732,302,160,247,184
  5. Step 5: Solve for x
    x = 29,732,302,160,247,184/81,609,952
  6. Step 6: Final answer
    x = 364,322,015.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.