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Finding the Third Proportional to 290,802.66 and 436,511.53

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Solution

The third proportional to 290,802.66 and 436,511.53 is: 655,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,802.66 : 436,511.53 = 436,511.53 : x
  2. Step 2: Convert to fraction form
    290,802.66/436,511.53 = 436,511.53/x
  3. Step 3: Cross multiply
    290,802.66x = 436,511.53 × 436,511.53
  4. Step 4: Simplify right side
    290,802.66x = 190,542,316,914.22
  5. Step 5: Solve for x
    x = 190,542,316,914.22/290,802.66
  6. Step 6: Final answer
    x = 655,228.94

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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.