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Finding the Third Proportional to 409,388,109 and 585,429,500

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Solution

The third proportional to 409,388,109 and 585,429,500 is: 837,170,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,388,109 : 585,429,500 = 585,429,500 : x
  2. Step 2: Convert to fraction form
    409,388,109/585,429,500 = 585,429,500/x
  3. Step 3: Cross multiply
    409,388,109x = 585,429,500 × 585,429,500
  4. Step 4: Simplify right side
    409,388,109x = 342,727,699,470,249,984
  5. Step 5: Solve for x
    x = 342,727,699,470,249,984/409,388,109
  6. Step 6: Final answer
    x = 837,170,625.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.