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Finding the Third Proportional to 970,904 and 2,128,432

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Solution

The third proportional to 970,904 and 2,128,432 is: 4,665,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,904 : 2,128,432 = 2,128,432 : x
  2. Step 2: Convert to fraction form
    970,904/2,128,432 = 2,128,432/x
  3. Step 3: Cross multiply
    970,904x = 2,128,432 × 2,128,432
  4. Step 4: Simplify right side
    970,904x = 4,530,222,778,624
  5. Step 5: Solve for x
    x = 4,530,222,778,624/970,904
  6. Step 6: Final answer
    x = 4,665,984.26

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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.