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Finding the Third Proportional to 666,339.75 and 974,518.50

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Solution

The third proportional to 666,339.75 and 974,518.50 is: 1,425,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,339.75 : 974,518.50 = 974,518.50 : x
  2. Step 2: Convert to fraction form
    666,339.75/974,518.50 = 974,518.50/x
  3. Step 3: Cross multiply
    666,339.75x = 974,518.50 × 974,518.50
  4. Step 4: Simplify right side
    666,339.75x = 949,686,306,842.25
  5. Step 5: Solve for x
    x = 949,686,306,842.25/666,339.75
  6. Step 6: Final answer
    x = 1,425,228.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.