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Finding the Third Proportional to 315,918.75 and 681,657

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Solution

The third proportional to 315,918.75 and 681,657 is: 1,470,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,918.75 : 681,657 = 681,657 : x
  2. Step 2: Convert to fraction form
    315,918.75/681,657 = 681,657/x
  3. Step 3: Cross multiply
    315,918.75x = 681,657 × 681,657
  4. Step 4: Simplify right side
    315,918.75x = 464,656,265,649
  5. Step 5: Solve for x
    x = 464,656,265,649/315,918.75
  6. Step 6: Final answer
    x = 1,470,809.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.