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Finding the Third Proportional to 40,307,816.25 and 82,307,479.50

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Solution

The third proportional to 40,307,816.25 and 82,307,479.50 is: 168,069,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,307,816.25 : 82,307,479.50 = 82,307,479.50 : x
  2. Step 2: Convert to fraction form
    40,307,816.25/82,307,479.50 = 82,307,479.50/x
  3. Step 3: Cross multiply
    40,307,816.25x = 82,307,479.50 × 82,307,479.50
  4. Step 4: Simplify right side
    40,307,816.25x = 6,774,521,181,642,920
  5. Step 5: Solve for x
    x = 6,774,521,181,642,920/40,307,816.25
  6. Step 6: Final answer
    x = 168,069,665.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.