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Finding the Third Proportional to 308,312 and 672,502

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Solution

The third proportional to 308,312 and 672,502 is: 1,466,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,312 : 672,502 = 672,502 : x
  2. Step 2: Convert to fraction form
    308,312/672,502 = 672,502/x
  3. Step 3: Cross multiply
    308,312x = 672,502 × 672,502
  4. Step 4: Simplify right side
    308,312x = 452,258,940,004
  5. Step 5: Solve for x
    x = 452,258,940,004/308,312
  6. Step 6: Final answer
    x = 1,466,887.24

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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.