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Finding the Third Proportional to 130,467 and 282,519

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Solution

The third proportional to 130,467 and 282,519 is: 611,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,467 : 282,519 = 282,519 : x
  2. Step 2: Convert to fraction form
    130,467/282,519 = 282,519/x
  3. Step 3: Cross multiply
    130,467x = 282,519 × 282,519
  4. Step 4: Simplify right side
    130,467x = 79,816,985,361
  5. Step 5: Solve for x
    x = 79,816,985,361/130,467
  6. Step 6: Final answer
    x = 611,779.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.