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Finding the Third Proportional to 150,973,783.50 and 330,207,980.25

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Solution

The third proportional to 150,973,783.50 and 330,207,980.25 is: 722,226,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,973,783.50 : 330,207,980.25 = 330,207,980.25 : x
  2. Step 2: Convert to fraction form
    150,973,783.50/330,207,980.25 = 330,207,980.25/x
  3. Step 3: Cross multiply
    150,973,783.50x = 330,207,980.25 × 330,207,980.25
  4. Step 4: Simplify right side
    150,973,783.50x = 109,037,310,220,784,384
  5. Step 5: Solve for x
    x = 109,037,310,220,784,384/150,973,783.50
  6. Step 6: Final answer
    x = 722,226,784.63

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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.