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Finding the Third Proportional to 290,720 and 623,470

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Solution

The third proportional to 290,720 and 623,470 is: 1,337,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,720 : 623,470 = 623,470 : x
  2. Step 2: Convert to fraction form
    290,720/623,470 = 623,470/x
  3. Step 3: Cross multiply
    290,720x = 623,470 × 623,470
  4. Step 4: Simplify right side
    290,720x = 388,714,840,900
  5. Step 5: Solve for x
    x = 388,714,840,900/290,720
  6. Step 6: Final answer
    x = 1,337,076.37

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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.