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Finding the Third Proportional to 130,335 and 285,582

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Solution

The third proportional to 130,335 and 285,582 is: 625,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,335 : 285,582 = 285,582 : x
  2. Step 2: Convert to fraction form
    130,335/285,582 = 285,582/x
  3. Step 3: Cross multiply
    130,335x = 285,582 × 285,582
  4. Step 4: Simplify right side
    130,335x = 81,557,078,724
  5. Step 5: Solve for x
    x = 81,557,078,724/130,335
  6. Step 6: Final answer
    x = 625,749.64

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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.