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Finding the Third Proportional to 649,312 and 998,590

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Solution

The third proportional to 649,312 and 998,590 is: 1,535,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,312 : 998,590 = 998,590 : x
  2. Step 2: Convert to fraction form
    649,312/998,590 = 998,590/x
  3. Step 3: Cross multiply
    649,312x = 998,590 × 998,590
  4. Step 4: Simplify right side
    649,312x = 997,181,988,100
  5. Step 5: Solve for x
    x = 997,181,988,100/649,312
  6. Step 6: Final answer
    x = 1,535,751.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.