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Finding the Third Proportional to 134,480 and 289,488

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Solution

The third proportional to 134,480 and 289,488 is: 623,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,480 : 289,488 = 289,488 : x
  2. Step 2: Convert to fraction form
    134,480/289,488 = 289,488/x
  3. Step 3: Cross multiply
    134,480x = 289,488 × 289,488
  4. Step 4: Simplify right side
    134,480x = 83,803,302,144
  5. Step 5: Solve for x
    x = 83,803,302,144/134,480
  6. Step 6: Final answer
    x = 623,165.54

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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.