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Finding the Third Proportional to 310,222.25 and 474,258

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Solution

The third proportional to 310,222.25 and 474,258 is: 725,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,222.25 : 474,258 = 474,258 : x
  2. Step 2: Convert to fraction form
    310,222.25/474,258 = 474,258/x
  3. Step 3: Cross multiply
    310,222.25x = 474,258 × 474,258
  4. Step 4: Simplify right side
    310,222.25x = 224,920,650,564
  5. Step 5: Solve for x
    x = 224,920,650,564/310,222.25
  6. Step 6: Final answer
    x = 725,030.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.