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Finding the Third Proportional to 128,532,752 and 195,810,814

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Solution

The third proportional to 128,532,752 and 195,810,814 is: 298,304,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,532,752 : 195,810,814 = 195,810,814 : x
  2. Step 2: Convert to fraction form
    128,532,752/195,810,814 = 195,810,814/x
  3. Step 3: Cross multiply
    128,532,752x = 195,810,814 × 195,810,814
  4. Step 4: Simplify right side
    128,532,752x = 38,341,874,879,342,592
  5. Step 5: Solve for x
    x = 38,341,874,879,342,592/128,532,752
  6. Step 6: Final answer
    x = 298,304,317.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.