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Finding the Third Proportional to 406,663 and 883,330

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Solution

The third proportional to 406,663 and 883,330 is: 1,918,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,663 : 883,330 = 883,330 : x
  2. Step 2: Convert to fraction form
    406,663/883,330 = 883,330/x
  3. Step 3: Cross multiply
    406,663x = 883,330 × 883,330
  4. Step 4: Simplify right side
    406,663x = 780,271,888,900
  5. Step 5: Solve for x
    x = 780,271,888,900/406,663
  6. Step 6: Final answer
    x = 1,918,718.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.