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Finding the Third Proportional to 172,630 and 264,959

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Solution

The third proportional to 172,630 and 264,959 is: 406,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,630 : 264,959 = 264,959 : x
  2. Step 2: Convert to fraction form
    172,630/264,959 = 264,959/x
  3. Step 3: Cross multiply
    172,630x = 264,959 × 264,959
  4. Step 4: Simplify right side
    172,630x = 70,203,271,681
  5. Step 5: Solve for x
    x = 70,203,271,681/172,630
  6. Step 6: Final answer
    x = 406,669.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.