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Finding the Third Proportional to 196,196 and 310,878

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Solution

The third proportional to 196,196 and 310,878 is: 492,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,196 : 310,878 = 310,878 : x
  2. Step 2: Convert to fraction form
    196,196/310,878 = 310,878/x
  3. Step 3: Cross multiply
    196,196x = 310,878 × 310,878
  4. Step 4: Simplify right side
    196,196x = 96,645,130,884
  5. Step 5: Solve for x
    x = 96,645,130,884/196,196
  6. Step 6: Final answer
    x = 492,594.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.