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Finding the Third Proportional to 258,038 and 379,470

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Solution

The third proportional to 258,038 and 379,470 is: 558,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,038 : 379,470 = 379,470 : x
  2. Step 2: Convert to fraction form
    258,038/379,470 = 379,470/x
  3. Step 3: Cross multiply
    258,038x = 379,470 × 379,470
  4. Step 4: Simplify right side
    258,038x = 143,997,480,900
  5. Step 5: Solve for x
    x = 143,997,480,900/258,038
  6. Step 6: Final answer
    x = 558,047.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.