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Finding the Third Proportional to 298,926,982 and 420,771,628

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Solution

The third proportional to 298,926,982 and 420,771,628 is: 592,280,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,926,982 : 420,771,628 = 420,771,628 : x
  2. Step 2: Convert to fraction form
    298,926,982/420,771,628 = 420,771,628/x
  3. Step 3: Cross multiply
    298,926,982x = 420,771,628 × 420,771,628
  4. Step 4: Simplify right side
    298,926,982x = 177,048,762,929,770,368
  5. Step 5: Solve for x
    x = 177,048,762,929,770,368/298,926,982
  6. Step 6: Final answer
    x = 592,280,970.24

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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.