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Finding the Third Proportional to 631,140 and 1,369,284

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Solution

The third proportional to 631,140 and 1,369,284 is: 2,970,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,140 : 1,369,284 = 1,369,284 : x
  2. Step 2: Convert to fraction form
    631,140/1,369,284 = 1,369,284/x
  3. Step 3: Cross multiply
    631,140x = 1,369,284 × 1,369,284
  4. Step 4: Simplify right side
    631,140x = 1,874,938,672,656
  5. Step 5: Solve for x
    x = 1,874,938,672,656/631,140
  6. Step 6: Final answer
    x = 2,970,717.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.