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Finding the Third Proportional to 912,548 and 1,420,400

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Solution

The third proportional to 912,548 and 1,420,400 is: 2,210,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,548 : 1,420,400 = 1,420,400 : x
  2. Step 2: Convert to fraction form
    912,548/1,420,400 = 1,420,400/x
  3. Step 3: Cross multiply
    912,548x = 1,420,400 × 1,420,400
  4. Step 4: Simplify right side
    912,548x = 2,017,536,160,000
  5. Step 5: Solve for x
    x = 2,017,536,160,000/912,548
  6. Step 6: Final answer
    x = 2,210,882.23

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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.