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Finding the Third Proportional to 450,150 and 712,809

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Solution

The third proportional to 450,150 and 712,809 is: 1,128,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,150 : 712,809 = 712,809 : x
  2. Step 2: Convert to fraction form
    450,150/712,809 = 712,809/x
  3. Step 3: Cross multiply
    450,150x = 712,809 × 712,809
  4. Step 4: Simplify right side
    450,150x = 508,096,670,481
  5. Step 5: Solve for x
    x = 508,096,670,481/450,150
  6. Step 6: Final answer
    x = 1,128,727.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.