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Finding the Third Proportional to 615,697 and 921,074

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Solution

The third proportional to 615,697 and 921,074 is: 1,377,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,697 : 921,074 = 921,074 : x
  2. Step 2: Convert to fraction form
    615,697/921,074 = 921,074/x
  3. Step 3: Cross multiply
    615,697x = 921,074 × 921,074
  4. Step 4: Simplify right side
    615,697x = 848,377,313,476
  5. Step 5: Solve for x
    x = 848,377,313,476/615,697
  6. Step 6: Final answer
    x = 1,377,913.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.