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Finding the Third Proportional to 963,346.50 and 1,500,160.50

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Solution

The third proportional to 963,346.50 and 1,500,160.50 is: 2,336,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,346.50 : 1,500,160.50 = 1,500,160.50 : x
  2. Step 2: Convert to fraction form
    963,346.50/1,500,160.50 = 1,500,160.50/x
  3. Step 3: Cross multiply
    963,346.50x = 1,500,160.50 × 1,500,160.50
  4. Step 4: Simplify right side
    963,346.50x = 2,250,481,525,760.25
  5. Step 5: Solve for x
    x = 2,250,481,525,760.25/963,346.50
  6. Step 6: Final answer
    x = 2,336,108.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.