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Finding the Third Proportional to 255,402 and 386,658

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Solution

The third proportional to 255,402 and 386,658 is: 585,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,402 : 386,658 = 386,658 : x
  2. Step 2: Convert to fraction form
    255,402/386,658 = 386,658/x
  3. Step 3: Cross multiply
    255,402x = 386,658 × 386,658
  4. Step 4: Simplify right side
    255,402x = 149,504,408,964
  5. Step 5: Solve for x
    x = 149,504,408,964/255,402
  6. Step 6: Final answer
    x = 585,368.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.