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Finding the Third Proportional to 258,654 and 401,430

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Solution

The third proportional to 258,654 and 401,430 is: 623,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,654 : 401,430 = 401,430 : x
  2. Step 2: Convert to fraction form
    258,654/401,430 = 401,430/x
  3. Step 3: Cross multiply
    258,654x = 401,430 × 401,430
  4. Step 4: Simplify right side
    258,654x = 161,146,044,900
  5. Step 5: Solve for x
    x = 161,146,044,900/258,654
  6. Step 6: Final answer
    x = 623,017.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.