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Finding the Third Proportional to 641,115 and 989,430.75

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Solution

The third proportional to 641,115 and 989,430.75 is: 1,526,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,115 : 989,430.75 = 989,430.75 : x
  2. Step 2: Convert to fraction form
    641,115/989,430.75 = 989,430.75/x
  3. Step 3: Cross multiply
    641,115x = 989,430.75 × 989,430.75
  4. Step 4: Simplify right side
    641,115x = 978,973,209,045.56
  5. Step 5: Solve for x
    x = 978,973,209,045.56/641,115
  6. Step 6: Final answer
    x = 1,526,985.34

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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.