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Finding the Third Proportional to 290,285 and 439,803

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Solution

The third proportional to 290,285 and 439,803 is: 666,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,285 : 439,803 = 439,803 : x
  2. Step 2: Convert to fraction form
    290,285/439,803 = 439,803/x
  3. Step 3: Cross multiply
    290,285x = 439,803 × 439,803
  4. Step 4: Simplify right side
    290,285x = 193,426,678,809
  5. Step 5: Solve for x
    x = 193,426,678,809/290,285
  6. Step 6: Final answer
    x = 666,333.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.