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Finding the Third Proportional to 217,620,184.50 and 459,802,809

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Solution

The third proportional to 217,620,184.50 and 459,802,809 is: 971,502,821.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,620,184.50 : 459,802,809 = 459,802,809 : x
  2. Step 2: Convert to fraction form
    217,620,184.50/459,802,809 = 459,802,809/x
  3. Step 3: Cross multiply
    217,620,184.50x = 459,802,809 × 459,802,809
  4. Step 4: Simplify right side
    217,620,184.50x = 211,418,623,164,290,496
  5. Step 5: Solve for x
    x = 211,418,623,164,290,496/217,620,184.50
  6. Step 6: Final answer
    x = 971,502,821.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.