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Finding the Third Proportional to 298,926,972 and 420,771,614

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Solution

The third proportional to 298,926,972 and 420,771,614 is: 592,280,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,926,972 : 420,771,614 = 420,771,614 : x
  2. Step 2: Convert to fraction form
    298,926,972/420,771,614 = 420,771,614/x
  3. Step 3: Cross multiply
    298,926,972x = 420,771,614 × 420,771,614
  4. Step 4: Simplify right side
    298,926,972x = 177,048,751,148,164,992
  5. Step 5: Solve for x
    x = 177,048,751,148,164,992/298,926,972
  6. Step 6: Final answer
    x = 592,280,950.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.