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Finding the Third Proportional to 290,830 and 436,553

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Solution

The third proportional to 290,830 and 436,553 is: 655,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,830 : 436,553 = 436,553 : x
  2. Step 2: Convert to fraction form
    290,830/436,553 = 436,553/x
  3. Step 3: Cross multiply
    290,830x = 436,553 × 436,553
  4. Step 4: Simplify right side
    290,830x = 190,578,521,809
  5. Step 5: Solve for x
    x = 190,578,521,809/290,830
  6. Step 6: Final answer
    x = 655,291.83

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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.