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Finding the Third Proportional to 978,390 and 1,351,911

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Solution

The third proportional to 978,390 and 1,351,911 is: 1,868,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,390 : 1,351,911 = 1,351,911 : x
  2. Step 2: Convert to fraction form
    978,390/1,351,911 = 1,351,911/x
  3. Step 3: Cross multiply
    978,390x = 1,351,911 × 1,351,911
  4. Step 4: Simplify right side
    978,390x = 1,827,663,351,921
  5. Step 5: Solve for x
    x = 1,827,663,351,921/978,390
  6. Step 6: Final answer
    x = 1,868,031.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.