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Finding the Third Proportional to 433,040 and 680,258

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Solution

The third proportional to 433,040 and 680,258 is: 1,068,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,040 : 680,258 = 680,258 : x
  2. Step 2: Convert to fraction form
    433,040/680,258 = 680,258/x
  3. Step 3: Cross multiply
    433,040x = 680,258 × 680,258
  4. Step 4: Simplify right side
    433,040x = 462,750,946,564
  5. Step 5: Solve for x
    x = 462,750,946,564/433,040
  6. Step 6: Final answer
    x = 1,068,610.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.