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Finding the Third Proportional to 288,970 and 383,430

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Solution

The third proportional to 288,970 and 383,430 is: 508,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,970 : 383,430 = 383,430 : x
  2. Step 2: Convert to fraction form
    288,970/383,430 = 383,430/x
  3. Step 3: Cross multiply
    288,970x = 383,430 × 383,430
  4. Step 4: Simplify right side
    288,970x = 147,018,564,900
  5. Step 5: Solve for x
    x = 147,018,564,900/288,970
  6. Step 6: Final answer
    x = 508,767.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.