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Finding the Third Proportional to 459,646,689 and 644,975,296.50

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Solution

The third proportional to 459,646,689 and 644,975,296.50 is: 905,028,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,646,689 : 644,975,296.50 = 644,975,296.50 : x
  2. Step 2: Convert to fraction form
    459,646,689/644,975,296.50 = 644,975,296.50/x
  3. Step 3: Cross multiply
    459,646,689x = 644,975,296.50 × 644,975,296.50
  4. Step 4: Simplify right side
    459,646,689x = 415,993,133,095,262,912
  5. Step 5: Solve for x
    x = 415,993,133,095,262,912/459,646,689
  6. Step 6: Final answer
    x = 905,028,020.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.