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Finding the Third Proportional to 395,345,913.75 and 578,465,868.94

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Solution

The third proportional to 395,345,913.75 and 578,465,868.94 is: 846,405,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,345,913.75 : 578,465,868.94 = 578,465,868.94 : x
  2. Step 2: Convert to fraction form
    395,345,913.75/578,465,868.94 = 578,465,868.94/x
  3. Step 3: Cross multiply
    395,345,913.75x = 578,465,868.94 × 578,465,868.94
  4. Step 4: Simplify right side
    395,345,913.75x = 334,622,761,525,616,896
  5. Step 5: Solve for x
    x = 334,622,761,525,616,896/395,345,913.75
  6. Step 6: Final answer
    x = 846,405,008.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.