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Finding the Third Proportional to 406,093 and 609,140

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Solution

The third proportional to 406,093 and 609,140 is: 913,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,093 : 609,140 = 609,140 : x
  2. Step 2: Convert to fraction form
    406,093/609,140 = 609,140/x
  3. Step 3: Cross multiply
    406,093x = 609,140 × 609,140
  4. Step 4: Simplify right side
    406,093x = 371,051,539,600
  5. Step 5: Solve for x
    x = 371,051,539,600/406,093
  6. Step 6: Final answer
    x = 913,710.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.