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Finding the Third Proportional to 286,912 and 442,712

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Solution

The third proportional to 286,912 and 442,712 is: 683,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,912 : 442,712 = 442,712 : x
  2. Step 2: Convert to fraction form
    286,912/442,712 = 442,712/x
  3. Step 3: Cross multiply
    286,912x = 442,712 × 442,712
  4. Step 4: Simplify right side
    286,912x = 195,993,914,944
  5. Step 5: Solve for x
    x = 195,993,914,944/286,912
  6. Step 6: Final answer
    x = 683,115.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.