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Finding the Third Proportional to 421,742.50 and 910,937

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Solution

The third proportional to 421,742.50 and 910,937 is: 1,967,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,742.50 : 910,937 = 910,937 : x
  2. Step 2: Convert to fraction form
    421,742.50/910,937 = 910,937/x
  3. Step 3: Cross multiply
    421,742.50x = 910,937 × 910,937
  4. Step 4: Simplify right side
    421,742.50x = 829,806,217,969
  5. Step 5: Solve for x
    x = 829,806,217,969/421,742.50
  6. Step 6: Final answer
    x = 1,967,566.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.