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Finding the Third Proportional to 356,640 and 554,004

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Solution

The third proportional to 356,640 and 554,004 is: 860,588.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,640 : 554,004 = 554,004 : x
  2. Step 2: Convert to fraction form
    356,640/554,004 = 554,004/x
  3. Step 3: Cross multiply
    356,640x = 554,004 × 554,004
  4. Step 4: Simplify right side
    356,640x = 306,920,432,016
  5. Step 5: Solve for x
    x = 306,920,432,016/356,640
  6. Step 6: Final answer
    x = 860,588.92

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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.