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Finding the Third Proportional to 390,051.75 and 839,152.50

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Solution

The third proportional to 390,051.75 and 839,152.50 is: 1,805,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,051.75 : 839,152.50 = 839,152.50 : x
  2. Step 2: Convert to fraction form
    390,051.75/839,152.50 = 839,152.50/x
  3. Step 3: Cross multiply
    390,051.75x = 839,152.50 × 839,152.50
  4. Step 4: Simplify right side
    390,051.75x = 704,176,918,256.25
  5. Step 5: Solve for x
    x = 704,176,918,256.25/390,051.75
  6. Step 6: Final answer
    x = 1,805,342.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.