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Finding the Third Proportional to 442,744,566.19 and 968,892,503.44

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Solution

The third proportional to 442,744,566.19 and 968,892,503.44 is: 2,120,303,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,744,566.19 : 968,892,503.44 = 968,892,503.44 : x
  2. Step 2: Convert to fraction form
    442,744,566.19/968,892,503.44 = 968,892,503.44/x
  3. Step 3: Cross multiply
    442,744,566.19x = 968,892,503.44 × 968,892,503.44
  4. Step 4: Simplify right side
    442,744,566.19x = 938,752,683,217,385,984
  5. Step 5: Solve for x
    x = 938,752,683,217,385,984/442,744,566.19
  6. Step 6: Final answer
    x = 2,120,303,115.86

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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.