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Finding the Third Proportional to 172,698 and 266,430

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Solution

The third proportional to 172,698 and 266,430 is: 411,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,698 : 266,430 = 266,430 : x
  2. Step 2: Convert to fraction form
    172,698/266,430 = 266,430/x
  3. Step 3: Cross multiply
    172,698x = 266,430 × 266,430
  4. Step 4: Simplify right side
    172,698x = 70,984,944,900
  5. Step 5: Solve for x
    x = 70,984,944,900/172,698
  6. Step 6: Final answer
    x = 411,035.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.