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Finding the Third Proportional to 455,589 and 720,492.75

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Solution

The third proportional to 455,589 and 720,492.75 is: 1,139,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,589 : 720,492.75 = 720,492.75 : x
  2. Step 2: Convert to fraction form
    455,589/720,492.75 = 720,492.75/x
  3. Step 3: Cross multiply
    455,589x = 720,492.75 × 720,492.75
  4. Step 4: Simplify right side
    455,589x = 519,109,802,802.56
  5. Step 5: Solve for x
    x = 519,109,802,802.56/455,589
  6. Step 6: Final answer
    x = 1,139,425.67

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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.