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Finding the Third Proportional to 217,680,290 and 473,622,628

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Solution

The third proportional to 217,680,290 and 473,622,628 is: 1,030,494,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,680,290 : 473,622,628 = 473,622,628 : x
  2. Step 2: Convert to fraction form
    217,680,290/473,622,628 = 473,622,628/x
  3. Step 3: Cross multiply
    217,680,290x = 473,622,628 × 473,622,628
  4. Step 4: Simplify right side
    217,680,290x = 224,318,393,753,626,368
  5. Step 5: Solve for x
    x = 224,318,393,753,626,368/217,680,290
  6. Step 6: Final answer
    x = 1,030,494,739.57

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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.