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Finding the Third Proportional to 290,984 and 437,558

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Solution

The third proportional to 290,984 and 437,558 is: 657,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,984 : 437,558 = 437,558 : x
  2. Step 2: Convert to fraction form
    290,984/437,558 = 437,558/x
  3. Step 3: Cross multiply
    290,984x = 437,558 × 437,558
  4. Step 4: Simplify right side
    290,984x = 191,457,003,364
  5. Step 5: Solve for x
    x = 191,457,003,364/290,984
  6. Step 6: Final answer
    x = 657,964.02

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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.