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Finding the Third Proportional to 358,932 and 557,370

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Solution

The third proportional to 358,932 and 557,370 is: 865,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,932 : 557,370 = 557,370 : x
  2. Step 2: Convert to fraction form
    358,932/557,370 = 557,370/x
  3. Step 3: Cross multiply
    358,932x = 557,370 × 557,370
  4. Step 4: Simplify right side
    358,932x = 310,661,316,900
  5. Step 5: Solve for x
    x = 310,661,316,900/358,932
  6. Step 6: Final answer
    x = 865,515.80

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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.