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Finding the Third Proportional to 290,117 and 623,088

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Solution

The third proportional to 290,117 and 623,088 is: 1,338,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,117 : 623,088 = 623,088 : x
  2. Step 2: Convert to fraction form
    290,117/623,088 = 623,088/x
  3. Step 3: Cross multiply
    290,117x = 623,088 × 623,088
  4. Step 4: Simplify right side
    290,117x = 388,238,655,744
  5. Step 5: Solve for x
    x = 388,238,655,744/290,117
  6. Step 6: Final answer
    x = 1,338,214.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.