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Finding the Third Proportional to 455,455 and 680,673

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Solution

The third proportional to 455,455 and 680,673 is: 1,017,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,455 : 680,673 = 680,673 : x
  2. Step 2: Convert to fraction form
    455,455/680,673 = 680,673/x
  3. Step 3: Cross multiply
    455,455x = 680,673 × 680,673
  4. Step 4: Simplify right side
    455,455x = 463,315,732,929
  5. Step 5: Solve for x
    x = 463,315,732,929/455,455
  6. Step 6: Final answer
    x = 1,017,259.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.