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Finding the Third Proportional to 445,141 and 1,050,127

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Solution

The third proportional to 445,141 and 1,050,127 is: 2,477,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,141 : 1,050,127 = 1,050,127 : x
  2. Step 2: Convert to fraction form
    445,141/1,050,127 = 1,050,127/x
  3. Step 3: Cross multiply
    445,141x = 1,050,127 × 1,050,127
  4. Step 4: Simplify right side
    445,141x = 1,102,766,716,129
  5. Step 5: Solve for x
    x = 1,102,766,716,129/445,141
  6. Step 6: Final answer
    x = 2,477,342.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.