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Finding the Third Proportional to 286,122 and 442,335

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Solution

The third proportional to 286,122 and 442,335 is: 683,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,122 : 442,335 = 442,335 : x
  2. Step 2: Convert to fraction form
    286,122/442,335 = 442,335/x
  3. Step 3: Cross multiply
    286,122x = 442,335 × 442,335
  4. Step 4: Simplify right side
    286,122x = 195,660,252,225
  5. Step 5: Solve for x
    x = 195,660,252,225/286,122
  6. Step 6: Final answer
    x = 683,835.05

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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.