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Finding the Third Proportional to 970,742 and 2,128,108

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Solution

The third proportional to 970,742 and 2,128,108 is: 4,665,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,742 : 2,128,108 = 2,128,108 : x
  2. Step 2: Convert to fraction form
    970,742/2,128,108 = 2,128,108/x
  3. Step 3: Cross multiply
    970,742x = 2,128,108 × 2,128,108
  4. Step 4: Simplify right side
    970,742x = 4,528,843,659,664
  5. Step 5: Solve for x
    x = 4,528,843,659,664/970,742
  6. Step 6: Final answer
    x = 4,665,342.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.