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Finding the Third Proportional to 280,370 and 403,011

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Solution

The third proportional to 280,370 and 403,011 is: 579,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,370 : 403,011 = 403,011 : x
  2. Step 2: Convert to fraction form
    280,370/403,011 = 403,011/x
  3. Step 3: Cross multiply
    280,370x = 403,011 × 403,011
  4. Step 4: Simplify right side
    280,370x = 162,417,866,121
  5. Step 5: Solve for x
    x = 162,417,866,121/280,370
  6. Step 6: Final answer
    x = 579,298.31

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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.