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Finding the Third Proportional to 134,480 and 289,312

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Solution

The third proportional to 134,480 and 289,312 is: 622,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,480 : 289,312 = 289,312 : x
  2. Step 2: Convert to fraction form
    134,480/289,312 = 289,312/x
  3. Step 3: Cross multiply
    134,480x = 289,312 × 289,312
  4. Step 4: Simplify right side
    134,480x = 83,701,433,344
  5. Step 5: Solve for x
    x = 83,701,433,344/134,480
  6. Step 6: Final answer
    x = 622,408.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.