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Finding the Third Proportional to 5,178,925 and 7,840,364

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Solution

The third proportional to 5,178,925 and 7,840,364 is: 11,869,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178,925 : 7,840,364 = 7,840,364 : x
  2. Step 2: Convert to fraction form
    5,178,925/7,840,364 = 7,840,364/x
  3. Step 3: Cross multiply
    5,178,925x = 7,840,364 × 7,840,364
  4. Step 4: Simplify right side
    5,178,925x = 61,471,307,652,496
  5. Step 5: Solve for x
    x = 61,471,307,652,496/5,178,925
  6. Step 6: Final answer
    x = 11,869,511.08

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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.