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Finding the Third Proportional to 302,856 and 658,740

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Solution

The third proportional to 302,856 and 658,740 is: 1,432,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,856 : 658,740 = 658,740 : x
  2. Step 2: Convert to fraction form
    302,856/658,740 = 658,740/x
  3. Step 3: Cross multiply
    302,856x = 658,740 × 658,740
  4. Step 4: Simplify right side
    302,856x = 433,938,387,600
  5. Step 5: Solve for x
    x = 433,938,387,600/302,856
  6. Step 6: Final answer
    x = 1,432,820.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.