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Finding the Third Proportional to 9,406,240 and 13,746,357

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Solution

The third proportional to 9,406,240 and 13,746,357 is: 20,089,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406,240 : 13,746,357 = 13,746,357 : x
  2. Step 2: Convert to fraction form
    9,406,240/13,746,357 = 13,746,357/x
  3. Step 3: Cross multiply
    9,406,240x = 13,746,357 × 13,746,357
  4. Step 4: Simplify right side
    9,406,240x = 188,962,330,771,449
  5. Step 5: Solve for x
    x = 188,962,330,771,449/9,406,240
  6. Step 6: Final answer
    x = 20,089,039.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.