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Finding the Third Proportional to 130,990.50 and 243,592.50

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Solution

The third proportional to 130,990.50 and 243,592.50 is: 452,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,990.50 : 243,592.50 = 243,592.50 : x
  2. Step 2: Convert to fraction form
    130,990.50/243,592.50 = 243,592.50/x
  3. Step 3: Cross multiply
    130,990.50x = 243,592.50 × 243,592.50
  4. Step 4: Simplify right side
    130,990.50x = 59,337,306,056.25
  5. Step 5: Solve for x
    x = 59,337,306,056.25/130,990.50
  6. Step 6: Final answer
    x = 452,989.39

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.