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Finding the Third Proportional to 315,820 and 485,440

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Solution

The third proportional to 315,820 and 485,440 is: 746,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,820 : 485,440 = 485,440 : x
  2. Step 2: Convert to fraction form
    315,820/485,440 = 485,440/x
  3. Step 3: Cross multiply
    315,820x = 485,440 × 485,440
  4. Step 4: Simplify right side
    315,820x = 235,651,993,600
  5. Step 5: Solve for x
    x = 235,651,993,600/315,820
  6. Step 6: Final answer
    x = 746,159.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.