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Finding the Third Proportional to 290,700 and 623,430

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Solution

The third proportional to 290,700 and 623,430 is: 1,336,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,700 : 623,430 = 623,430 : x
  2. Step 2: Convert to fraction form
    290,700/623,430 = 623,430/x
  3. Step 3: Cross multiply
    290,700x = 623,430 × 623,430
  4. Step 4: Simplify right side
    290,700x = 388,664,964,900
  5. Step 5: Solve for x
    x = 388,664,964,900/290,700
  6. Step 6: Final answer
    x = 1,336,996.78

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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.