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Finding the Third Proportional to 290,488 and 607,580

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Solution

The third proportional to 290,488 and 607,580 is: 1,270,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,488 : 607,580 = 607,580 : x
  2. Step 2: Convert to fraction form
    290,488/607,580 = 607,580/x
  3. Step 3: Cross multiply
    290,488x = 607,580 × 607,580
  4. Step 4: Simplify right side
    290,488x = 369,153,456,400
  5. Step 5: Solve for x
    x = 369,153,456,400/290,488
  6. Step 6: Final answer
    x = 1,270,804.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.