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Finding the Third Proportional to 291,169 and 436,753.50

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Solution

The third proportional to 291,169 and 436,753.50 is: 655,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,169 : 436,753.50 = 436,753.50 : x
  2. Step 2: Convert to fraction form
    291,169/436,753.50 = 436,753.50/x
  3. Step 3: Cross multiply
    291,169x = 436,753.50 × 436,753.50
  4. Step 4: Simplify right side
    291,169x = 190,753,619,762.25
  5. Step 5: Solve for x
    x = 190,753,619,762.25/291,169
  6. Step 6: Final answer
    x = 655,130.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.