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Finding the Third Proportional to 406,091 and 609,137

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Solution

The third proportional to 406,091 and 609,137 is: 913,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,091 : 609,137 = 609,137 : x
  2. Step 2: Convert to fraction form
    406,091/609,137 = 609,137/x
  3. Step 3: Cross multiply
    406,091x = 609,137 × 609,137
  4. Step 4: Simplify right side
    406,091x = 371,047,884,769
  5. Step 5: Solve for x
    x = 371,047,884,769/406,091
  6. Step 6: Final answer
    x = 913,706.25

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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.