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Finding the Third Proportional to 287,820 and 403,596

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Solution

The third proportional to 287,820 and 403,596 is: 565,943.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,820 : 403,596 = 403,596 : x
  2. Step 2: Convert to fraction form
    287,820/403,596 = 403,596/x
  3. Step 3: Cross multiply
    287,820x = 403,596 × 403,596
  4. Step 4: Simplify right side
    287,820x = 162,889,731,216
  5. Step 5: Solve for x
    x = 162,889,731,216/287,820
  6. Step 6: Final answer
    x = 565,943.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.