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Finding the Third Proportional to 72,175,765.50 and 168,415,953.75

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Solution

The third proportional to 72,175,765.50 and 168,415,953.75 is: 392,984,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,175,765.50 : 168,415,953.75 = 168,415,953.75 : x
  2. Step 2: Convert to fraction form
    72,175,765.50/168,415,953.75 = 168,415,953.75/x
  3. Step 3: Cross multiply
    72,175,765.50x = 168,415,953.75 × 168,415,953.75
  4. Step 4: Simplify right side
    72,175,765.50x = 28,363,933,477,522,140
  5. Step 5: Solve for x
    x = 28,363,933,477,522,140/72,175,765.50
  6. Step 6: Final answer
    x = 392,984,172.47

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.