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Finding the Third Proportional to 315,038 and 505,358

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Solution

The third proportional to 315,038 and 505,358 is: 810,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,038 : 505,358 = 505,358 : x
  2. Step 2: Convert to fraction form
    315,038/505,358 = 505,358/x
  3. Step 3: Cross multiply
    315,038x = 505,358 × 505,358
  4. Step 4: Simplify right side
    315,038x = 255,386,708,164
  5. Step 5: Solve for x
    x = 255,386,708,164/315,038
  6. Step 6: Final answer
    x = 810,653.66

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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.