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Finding the Third Proportional to 210,816,189 and 314,984,253

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Solution

The third proportional to 210,816,189 and 314,984,253 is: 470,623,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816,189 : 314,984,253 = 314,984,253 : x
  2. Step 2: Convert to fraction form
    210,816,189/314,984,253 = 314,984,253/x
  3. Step 3: Cross multiply
    210,816,189x = 314,984,253 × 314,984,253
  4. Step 4: Simplify right side
    210,816,189x = 99,215,079,637,968,016
  5. Step 5: Solve for x
    x = 99,215,079,637,968,016/210,816,189
  6. Step 6: Final answer
    x = 470,623,627.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.