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Finding the Third Proportional to 312,028 and 672,688

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Solution

The third proportional to 312,028 and 672,688 is: 1,450,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,028 : 672,688 = 672,688 : x
  2. Step 2: Convert to fraction form
    312,028/672,688 = 672,688/x
  3. Step 3: Cross multiply
    312,028x = 672,688 × 672,688
  4. Step 4: Simplify right side
    312,028x = 452,509,145,344
  5. Step 5: Solve for x
    x = 452,509,145,344/312,028
  6. Step 6: Final answer
    x = 1,450,219.68

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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.