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Finding the Third Proportional to 213,296,550 and 318,549,609

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Solution

The third proportional to 213,296,550 and 318,549,609 is: 475,740,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,296,550 : 318,549,609 = 318,549,609 : x
  2. Step 2: Convert to fraction form
    213,296,550/318,549,609 = 318,549,609/x
  3. Step 3: Cross multiply
    213,296,550x = 318,549,609 × 318,549,609
  4. Step 4: Simplify right side
    213,296,550x = 101,473,853,394,052,880
  5. Step 5: Solve for x
    x = 101,473,853,394,052,880/213,296,550
  6. Step 6: Final answer
    x = 475,740,715.89

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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.