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Finding the Third Proportional to 456,518.25 and 712,410.75

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Solution

The third proportional to 456,518.25 and 712,410.75 is: 1,111,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,518.25 : 712,410.75 = 712,410.75 : x
  2. Step 2: Convert to fraction form
    456,518.25/712,410.75 = 712,410.75/x
  3. Step 3: Cross multiply
    456,518.25x = 712,410.75 × 712,410.75
  4. Step 4: Simplify right side
    456,518.25x = 507,529,076,715.56
  5. Step 5: Solve for x
    x = 507,529,076,715.56/456,518.25
  6. Step 6: Final answer
    x = 1,111,738.86

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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.