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Finding the Third Proportional to 290,548 and 632,560

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Solution

The third proportional to 290,548 and 632,560 is: 1,377,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,548 : 632,560 = 632,560 : x
  2. Step 2: Convert to fraction form
    290,548/632,560 = 632,560/x
  3. Step 3: Cross multiply
    290,548x = 632,560 × 632,560
  4. Step 4: Simplify right side
    290,548x = 400,132,153,600
  5. Step 5: Solve for x
    x = 400,132,153,600/290,548
  6. Step 6: Final answer
    x = 1,377,163.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.