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Finding the Third Proportional to 290,734,464 and 637,958,523

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Solution

The third proportional to 290,734,464 and 637,958,523 is: 1,399,872,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,734,464 : 637,958,523 = 637,958,523 : x
  2. Step 2: Convert to fraction form
    290,734,464/637,958,523 = 637,958,523/x
  3. Step 3: Cross multiply
    290,734,464x = 637,958,523 × 637,958,523
  4. Step 4: Simplify right side
    290,734,464x = 406,991,077,068,341,504
  5. Step 5: Solve for x
    x = 406,991,077,068,341,504/290,734,464
  6. Step 6: Final answer
    x = 1,399,872,142.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.