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Finding the Third Proportional to 638,712 and 1,390,824

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Solution

The third proportional to 638,712 and 1,390,824 is: 3,028,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,712 : 1,390,824 = 1,390,824 : x
  2. Step 2: Convert to fraction form
    638,712/1,390,824 = 1,390,824/x
  3. Step 3: Cross multiply
    638,712x = 1,390,824 × 1,390,824
  4. Step 4: Simplify right side
    638,712x = 1,934,391,398,976
  5. Step 5: Solve for x
    x = 1,934,391,398,976/638,712
  6. Step 6: Final answer
    x = 3,028,581.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.