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Finding the Third Proportional to 286,910 and 442,709

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Solution

The third proportional to 286,910 and 442,709 is: 683,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,910 : 442,709 = 442,709 : x
  2. Step 2: Convert to fraction form
    286,910/442,709 = 442,709/x
  3. Step 3: Cross multiply
    286,910x = 442,709 × 442,709
  4. Step 4: Simplify right side
    286,910x = 195,991,258,681
  5. Step 5: Solve for x
    x = 195,991,258,681/286,910
  6. Step 6: Final answer
    x = 683,110.59

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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.