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Finding the Third Proportional to 145,091 and 205,486

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Solution

The third proportional to 145,091 and 205,486 is: 291,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,091 : 205,486 = 205,486 : x
  2. Step 2: Convert to fraction form
    145,091/205,486 = 205,486/x
  3. Step 3: Cross multiply
    145,091x = 205,486 × 205,486
  4. Step 4: Simplify right side
    145,091x = 42,224,496,196
  5. Step 5: Solve for x
    x = 42,224,496,196/145,091
  6. Step 6: Final answer
    x = 291,020.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.