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Finding the Third Proportional to 290,345 and 607,296

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Solution

The third proportional to 290,345 and 607,296 is: 1,270,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,345 : 607,296 = 607,296 : x
  2. Step 2: Convert to fraction form
    290,345/607,296 = 607,296/x
  3. Step 3: Cross multiply
    290,345x = 607,296 × 607,296
  4. Step 4: Simplify right side
    290,345x = 368,808,431,616
  5. Step 5: Solve for x
    x = 368,808,431,616/290,345
  6. Step 6: Final answer
    x = 1,270,242.06

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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.