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Finding the Third Proportional to 130,420.50 and 285,780

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Solution

The third proportional to 130,420.50 and 285,780 is: 626,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,420.50 : 285,780 = 285,780 : x
  2. Step 2: Convert to fraction form
    130,420.50/285,780 = 285,780/x
  3. Step 3: Cross multiply
    130,420.50x = 285,780 × 285,780
  4. Step 4: Simplify right side
    130,420.50x = 81,670,208,400
  5. Step 5: Solve for x
    x = 81,670,208,400/130,420.50
  6. Step 6: Final answer
    x = 626,206.83

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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.