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Finding the Third Proportional to 172,830,997.50 and 252,684,958.50

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Solution

The third proportional to 172,830,997.50 and 252,684,958.50 is: 369,434,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,830,997.50 : 252,684,958.50 = 252,684,958.50 : x
  2. Step 2: Convert to fraction form
    172,830,997.50/252,684,958.50 = 252,684,958.50/x
  3. Step 3: Cross multiply
    172,830,997.50x = 252,684,958.50 × 252,684,958.50
  4. Step 4: Simplify right side
    172,830,997.50x = 63,849,688,252,146,720
  5. Step 5: Solve for x
    x = 63,849,688,252,146,720/172,830,997.50
  6. Step 6: Final answer
    x = 369,434,240.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.