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Finding the Third Proportional to 430,194 and 668,301

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Solution

The third proportional to 430,194 and 668,301 is: 1,038,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,194 : 668,301 = 668,301 : x
  2. Step 2: Convert to fraction form
    430,194/668,301 = 668,301/x
  3. Step 3: Cross multiply
    430,194x = 668,301 × 668,301
  4. Step 4: Simplify right side
    430,194x = 446,626,226,601
  5. Step 5: Solve for x
    x = 446,626,226,601/430,194
  6. Step 6: Final answer
    x = 1,038,197.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.