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Finding the Third Proportional to 296,345 and 640,078

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Solution

The third proportional to 296,345 and 640,078 is: 1,382,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,345 : 640,078 = 640,078 : x
  2. Step 2: Convert to fraction form
    296,345/640,078 = 640,078/x
  3. Step 3: Cross multiply
    296,345x = 640,078 × 640,078
  4. Step 4: Simplify right side
    296,345x = 409,699,846,084
  5. Step 5: Solve for x
    x = 409,699,846,084/296,345
  6. Step 6: Final answer
    x = 1,382,509.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.