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Finding the Third Proportional to 280,368 and 403,008

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Solution

The third proportional to 280,368 and 403,008 is: 579,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,368 : 403,008 = 403,008 : x
  2. Step 2: Convert to fraction form
    280,368/403,008 = 403,008/x
  3. Step 3: Cross multiply
    280,368x = 403,008 × 403,008
  4. Step 4: Simplify right side
    280,368x = 162,415,448,064
  5. Step 5: Solve for x
    x = 162,415,448,064/280,368
  6. Step 6: Final answer
    x = 579,293.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.