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Finding the Third Proportional to 315,084 and 470,565

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Solution

The third proportional to 315,084 and 470,565 is: 702,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,084 : 470,565 = 470,565 : x
  2. Step 2: Convert to fraction form
    315,084/470,565 = 470,565/x
  3. Step 3: Cross multiply
    315,084x = 470,565 × 470,565
  4. Step 4: Simplify right side
    315,084x = 221,431,419,225
  5. Step 5: Solve for x
    x = 221,431,419,225/315,084
  6. Step 6: Final answer
    x = 702,769.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.