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Finding the Third Proportional to 459,351 and 717,880.50

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Solution

The third proportional to 459,351 and 717,880.50 is: 1,121,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,351 : 717,880.50 = 717,880.50 : x
  2. Step 2: Convert to fraction form
    459,351/717,880.50 = 717,880.50/x
  3. Step 3: Cross multiply
    459,351x = 717,880.50 × 717,880.50
  4. Step 4: Simplify right side
    459,351x = 515,352,412,280.25
  5. Step 5: Solve for x
    x = 515,352,412,280.25/459,351
  6. Step 6: Final answer
    x = 1,121,914.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.