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Finding the Third Proportional to 893,122 and 1,330,457

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Solution

The third proportional to 893,122 and 1,330,457 is: 1,981,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,122 : 1,330,457 = 1,330,457 : x
  2. Step 2: Convert to fraction form
    893,122/1,330,457 = 1,330,457/x
  3. Step 3: Cross multiply
    893,122x = 1,330,457 × 1,330,457
  4. Step 4: Simplify right side
    893,122x = 1,770,115,828,849
  5. Step 5: Solve for x
    x = 1,770,115,828,849/893,122
  6. Step 6: Final answer
    x = 1,981,941.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.