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Finding the Third Proportional to 688,962 and 1,477,578

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Solution

The third proportional to 688,962 and 1,477,578 is: 3,168,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,962 : 1,477,578 = 1,477,578 : x
  2. Step 2: Convert to fraction form
    688,962/1,477,578 = 1,477,578/x
  3. Step 3: Cross multiply
    688,962x = 1,477,578 × 1,477,578
  4. Step 4: Simplify right side
    688,962x = 2,183,236,746,084
  5. Step 5: Solve for x
    x = 2,183,236,746,084/688,962
  6. Step 6: Final answer
    x = 3,168,878.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.