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Finding the Third Proportional to 242,433 and 509,989.50

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Solution

The third proportional to 242,433 and 509,989.50 is: 1,072,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,433 : 509,989.50 = 509,989.50 : x
  2. Step 2: Convert to fraction form
    242,433/509,989.50 = 509,989.50/x
  3. Step 3: Cross multiply
    242,433x = 509,989.50 × 509,989.50
  4. Step 4: Simplify right side
    242,433x = 260,089,290,110.25
  5. Step 5: Solve for x
    x = 260,089,290,110.25/242,433
  6. Step 6: Final answer
    x = 1,072,829.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.