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Finding the Third Proportional to 131,016,172.50 and 280,437,001.50

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Solution

The third proportional to 131,016,172.50 and 280,437,001.50 is: 600,268,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,016,172.50 : 280,437,001.50 = 280,437,001.50 : x
  2. Step 2: Convert to fraction form
    131,016,172.50/280,437,001.50 = 280,437,001.50/x
  3. Step 3: Cross multiply
    131,016,172.50x = 280,437,001.50 × 280,437,001.50
  4. Step 4: Simplify right side
    131,016,172.50x = 78,644,911,810,311,008
  5. Step 5: Solve for x
    x = 78,644,911,810,311,008/131,016,172.50
  6. Step 6: Final answer
    x = 600,268,732.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.