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Finding the Third Proportional to 403,095 and 582,705

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Solution

The third proportional to 403,095 and 582,705 is: 842,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,095 : 582,705 = 582,705 : x
  2. Step 2: Convert to fraction form
    403,095/582,705 = 582,705/x
  3. Step 3: Cross multiply
    403,095x = 582,705 × 582,705
  4. Step 4: Simplify right side
    403,095x = 339,545,117,025
  5. Step 5: Solve for x
    x = 339,545,117,025/403,095
  6. Step 6: Final answer
    x = 842,345.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.