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Finding the Third Proportional to 450,285.75 and 684,712.69

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Solution

The third proportional to 450,285.75 and 684,712.69 is: 1,041,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,285.75 : 684,712.69 = 684,712.69 : x
  2. Step 2: Convert to fraction form
    450,285.75/684,712.69 = 684,712.69/x
  3. Step 3: Cross multiply
    450,285.75x = 684,712.69 × 684,712.69
  4. Step 4: Simplify right side
    450,285.75x = 468,831,464,423.47
  5. Step 5: Solve for x
    x = 468,831,464,423.47/450,285.75
  6. Step 6: Final answer
    x = 1,041,186.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.