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Finding the Third Proportional to 315,044 and 505,370

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Solution

The third proportional to 315,044 and 505,370 is: 810,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,044 : 505,370 = 505,370 : x
  2. Step 2: Convert to fraction form
    315,044/505,370 = 505,370/x
  3. Step 3: Cross multiply
    315,044x = 505,370 × 505,370
  4. Step 4: Simplify right side
    315,044x = 255,398,836,900
  5. Step 5: Solve for x
    x = 255,398,836,900/315,044
  6. Step 6: Final answer
    x = 810,676.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.