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Finding the Third Proportional to 145,429,787 and 311,014,966

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Solution

The third proportional to 145,429,787 and 311,014,966 is: 665,134,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,787 : 311,014,966 = 311,014,966 : x
  2. Step 2: Convert to fraction form
    145,429,787/311,014,966 = 311,014,966/x
  3. Step 3: Cross multiply
    145,429,787x = 311,014,966 × 311,014,966
  4. Step 4: Simplify right side
    145,429,787x = 96,730,309,075,981,152
  5. Step 5: Solve for x
    x = 96,730,309,075,981,152/145,429,787
  6. Step 6: Final answer
    x = 665,134,090.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.