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Finding the Third Proportional to 130,416 and 285,834

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Solution

The third proportional to 130,416 and 285,834 is: 626,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,416 : 285,834 = 285,834 : x
  2. Step 2: Convert to fraction form
    130,416/285,834 = 285,834/x
  3. Step 3: Cross multiply
    130,416x = 285,834 × 285,834
  4. Step 4: Simplify right side
    130,416x = 81,701,075,556
  5. Step 5: Solve for x
    x = 81,701,075,556/130,416
  6. Step 6: Final answer
    x = 626,465.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.