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Finding the Third Proportional to 252,045 and 390,258

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Solution

The third proportional to 252,045 and 390,258 is: 604,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,045 : 390,258 = 390,258 : x
  2. Step 2: Convert to fraction form
    252,045/390,258 = 390,258/x
  3. Step 3: Cross multiply
    252,045x = 390,258 × 390,258
  4. Step 4: Simplify right side
    252,045x = 152,301,306,564
  5. Step 5: Solve for x
    x = 152,301,306,564/252,045
  6. Step 6: Final answer
    x = 604,262.36

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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.