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Finding the Third Proportional to 912,903.75 and 1,421,023.50

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Solution

The third proportional to 912,903.75 and 1,421,023.50 is: 2,211,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,903.75 : 1,421,023.50 = 1,421,023.50 : x
  2. Step 2: Convert to fraction form
    912,903.75/1,421,023.50 = 1,421,023.50/x
  3. Step 3: Cross multiply
    912,903.75x = 1,421,023.50 × 1,421,023.50
  4. Step 4: Simplify right side
    912,903.75x = 2,019,307,787,552.25
  5. Step 5: Solve for x
    x = 2,019,307,787,552.25/912,903.75
  6. Step 6: Final answer
    x = 2,211,961.32

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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.