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Finding the Third Proportional to 254,583 and 390,015

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Solution

The third proportional to 254,583 and 390,015 is: 597,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,583 : 390,015 = 390,015 : x
  2. Step 2: Convert to fraction form
    254,583/390,015 = 390,015/x
  3. Step 3: Cross multiply
    254,583x = 390,015 × 390,015
  4. Step 4: Simplify right side
    254,583x = 152,111,700,225
  5. Step 5: Solve for x
    x = 152,111,700,225/254,583
  6. Step 6: Final answer
    x = 597,493.55

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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.