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Finding the Third Proportional to 287,762,646 and 445,395,096

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Solution

The third proportional to 287,762,646 and 445,395,096 is: 689,376,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,762,646 : 445,395,096 = 445,395,096 : x
  2. Step 2: Convert to fraction form
    287,762,646/445,395,096 = 445,395,096/x
  3. Step 3: Cross multiply
    287,762,646x = 445,395,096 × 445,395,096
  4. Step 4: Simplify right side
    287,762,646x = 198,376,791,540,849,216
  5. Step 5: Solve for x
    x = 198,376,791,540,849,216/287,762,646
  6. Step 6: Final answer
    x = 689,376,450.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.