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Finding the Third Proportional to 128,995 and 275,646

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Solution

The third proportional to 128,995 and 275,646 is: 589,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,995 : 275,646 = 275,646 : x
  2. Step 2: Convert to fraction form
    128,995/275,646 = 275,646/x
  3. Step 3: Cross multiply
    128,995x = 275,646 × 275,646
  4. Step 4: Simplify right side
    128,995x = 75,980,717,316
  5. Step 5: Solve for x
    x = 75,980,717,316/128,995
  6. Step 6: Final answer
    x = 589,020.64

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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.