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Finding the Third Proportional to 130,153 and 285,209

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Solution

The third proportional to 130,153 and 285,209 is: 624,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,153 : 285,209 = 285,209 : x
  2. Step 2: Convert to fraction form
    130,153/285,209 = 285,209/x
  3. Step 3: Cross multiply
    130,153x = 285,209 × 285,209
  4. Step 4: Simplify right side
    130,153x = 81,344,173,681
  5. Step 5: Solve for x
    x = 81,344,173,681/130,153
  6. Step 6: Final answer
    x = 624,988.85

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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.