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Finding the Third Proportional to 264,318,852 and 560,146,678.50

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Solution

The third proportional to 264,318,852 and 560,146,678.50 is: 1,187,067,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,318,852 : 560,146,678.50 = 560,146,678.50 : x
  2. Step 2: Convert to fraction form
    264,318,852/560,146,678.50 = 560,146,678.50/x
  3. Step 3: Cross multiply
    264,318,852x = 560,146,678.50 × 560,146,678.50
  4. Step 4: Simplify right side
    264,318,852x = 313,764,301,434,582,336
  5. Step 5: Solve for x
    x = 313,764,301,434,582,336/264,318,852
  6. Step 6: Final answer
    x = 1,187,067,434.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.