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Finding the Third Proportional to 989,438 and 2,168,248

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Solution

The third proportional to 989,438 and 2,168,248 is: 4,751,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,438 : 2,168,248 = 2,168,248 : x
  2. Step 2: Convert to fraction form
    989,438/2,168,248 = 2,168,248/x
  3. Step 3: Cross multiply
    989,438x = 2,168,248 × 2,168,248
  4. Step 4: Simplify right side
    989,438x = 4,701,299,389,504
  5. Step 5: Solve for x
    x = 4,701,299,389,504/989,438
  6. Step 6: Final answer
    x = 4,751,484.57

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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.