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Finding the Third Proportional to 188,018,215 and 412,357,153

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Solution

The third proportional to 188,018,215 and 412,357,153 is: 904,372,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,018,215 : 412,357,153 = 412,357,153 : x
  2. Step 2: Convert to fraction form
    188,018,215/412,357,153 = 412,357,153/x
  3. Step 3: Cross multiply
    188,018,215x = 412,357,153 × 412,357,153
  4. Step 4: Simplify right side
    188,018,215x = 170,038,421,630,265,408
  5. Step 5: Solve for x
    x = 170,038,421,630,265,408/188,018,215
  6. Step 6: Final answer
    x = 904,372,066.45

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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.