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Finding the Third Proportional to 721,197 and 1,121,148

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Solution

The third proportional to 721,197 and 1,121,148 is: 1,742,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,197 : 1,121,148 = 1,121,148 : x
  2. Step 2: Convert to fraction form
    721,197/1,121,148 = 1,121,148/x
  3. Step 3: Cross multiply
    721,197x = 1,121,148 × 1,121,148
  4. Step 4: Simplify right side
    721,197x = 1,256,972,837,904
  5. Step 5: Solve for x
    x = 1,256,972,837,904/721,197
  6. Step 6: Final answer
    x = 1,742,898.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.