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Finding the Third Proportional to 475,480,914 and 1,035,373,741.50

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Solution

The third proportional to 475,480,914 and 1,035,373,741.50 is: 2,254,556,919.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,480,914 : 1,035,373,741.50 = 1,035,373,741.50 : x
  2. Step 2: Convert to fraction form
    475,480,914/1,035,373,741.50 = 1,035,373,741.50/x
  3. Step 3: Cross multiply
    475,480,914x = 1,035,373,741.50 × 1,035,373,741.50
  4. Step 4: Simplify right side
    475,480,914x = 1,071,998,784,587,708,800
  5. Step 5: Solve for x
    x = 1,071,998,784,587,708,800/475,480,914
  6. Step 6: Final answer
    x = 2,254,556,919.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.