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Finding the Third Proportional to 312,402,415.50 and 650,662,155

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Solution

The third proportional to 312,402,415.50 and 650,662,155 is: 1,355,179,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,402,415.50 : 650,662,155 = 650,662,155 : x
  2. Step 2: Convert to fraction form
    312,402,415.50/650,662,155 = 650,662,155/x
  3. Step 3: Cross multiply
    312,402,415.50x = 650,662,155 × 650,662,155
  4. Step 4: Simplify right side
    312,402,415.50x = 423,361,239,949,244,032
  5. Step 5: Solve for x
    x = 423,361,239,949,244,032/312,402,415.50
  6. Step 6: Final answer
    x = 1,355,179,150.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.