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Finding the Third Proportional to 290,844 and 623,160

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Solution

The third proportional to 290,844 and 623,160 is: 1,335,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,844 : 623,160 = 623,160 : x
  2. Step 2: Convert to fraction form
    290,844/623,160 = 623,160/x
  3. Step 3: Cross multiply
    290,844x = 623,160 × 623,160
  4. Step 4: Simplify right side
    290,844x = 388,328,385,600
  5. Step 5: Solve for x
    x = 388,328,385,600/290,844
  6. Step 6: Final answer
    x = 1,335,177.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.