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Finding the Third Proportional to 286,095 and 442,595

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Solution

The third proportional to 286,095 and 442,595 is: 684,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095 : 442,595 = 442,595 : x
  2. Step 2: Convert to fraction form
    286,095/442,595 = 442,595/x
  3. Step 3: Cross multiply
    286,095x = 442,595 × 442,595
  4. Step 4: Simplify right side
    286,095x = 195,890,334,025
  5. Step 5: Solve for x
    x = 195,890,334,025/286,095
  6. Step 6: Final answer
    x = 684,703.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.