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Finding the Third Proportional to 265,373 and 390,229

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Solution

The third proportional to 265,373 and 390,229 is: 573,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,373 : 390,229 = 390,229 : x
  2. Step 2: Convert to fraction form
    265,373/390,229 = 390,229/x
  3. Step 3: Cross multiply
    265,373x = 390,229 × 390,229
  4. Step 4: Simplify right side
    265,373x = 152,278,672,441
  5. Step 5: Solve for x
    x = 152,278,672,441/265,373
  6. Step 6: Final answer
    x = 573,828.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.