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Finding the Third Proportional to 287,820 and 402,593

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Solution

The third proportional to 287,820 and 402,593 is: 563,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,820 : 402,593 = 402,593 : x
  2. Step 2: Convert to fraction form
    287,820/402,593 = 402,593/x
  3. Step 3: Cross multiply
    287,820x = 402,593 × 402,593
  4. Step 4: Simplify right side
    287,820x = 162,081,123,649
  5. Step 5: Solve for x
    x = 162,081,123,649/287,820
  6. Step 6: Final answer
    x = 563,133.64

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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.