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Finding the Third Proportional to 5,429,768 and 10,722,480

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Solution

The third proportional to 5,429,768 and 10,722,480 is: 21,174,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429,768 : 10,722,480 = 10,722,480 : x
  2. Step 2: Convert to fraction form
    5,429,768/10,722,480 = 10,722,480/x
  3. Step 3: Cross multiply
    5,429,768x = 10,722,480 × 10,722,480
  4. Step 4: Simplify right side
    5,429,768x = 114,971,577,350,400
  5. Step 5: Solve for x
    x = 114,971,577,350,400/5,429,768
  6. Step 6: Final answer
    x = 21,174,307.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.