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Finding the Third Proportional to 152,369 and 228,409

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Solution

The third proportional to 152,369 and 228,409 is: 342,396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,369 : 228,409 = 228,409 : x
  2. Step 2: Convert to fraction form
    152,369/228,409 = 228,409/x
  3. Step 3: Cross multiply
    152,369x = 228,409 × 228,409
  4. Step 4: Simplify right side
    152,369x = 52,170,671,281
  5. Step 5: Solve for x
    x = 52,170,671,281/152,369
  6. Step 6: Final answer
    x = 342,396.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.