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Finding the Third Proportional to 172,290,994.31 and 260,487,863.30

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Solution

The third proportional to 172,290,994.31 and 260,487,863.30 is: 393,833,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,290,994.31 : 260,487,863.30 = 260,487,863.30 : x
  2. Step 2: Convert to fraction form
    172,290,994.31/260,487,863.30 = 260,487,863.30/x
  3. Step 3: Cross multiply
    172,290,994.31x = 260,487,863.30 × 260,487,863.30
  4. Step 4: Simplify right side
    172,290,994.31x = 67,853,926,924,974,048
  5. Step 5: Solve for x
    x = 67,853,926,924,974,048/172,290,994.31
  6. Step 6: Final answer
    x = 393,833,277.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.