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Finding the Third Proportional to 130,421 and 285,844

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Solution

The third proportional to 130,421 and 285,844 is: 626,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,421 : 285,844 = 285,844 : x
  2. Step 2: Convert to fraction form
    130,421/285,844 = 285,844/x
  3. Step 3: Cross multiply
    130,421x = 285,844 × 285,844
  4. Step 4: Simplify right side
    130,421x = 81,706,792,336
  5. Step 5: Solve for x
    x = 81,706,792,336/130,421
  6. Step 6: Final answer
    x = 626,484.94

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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.