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Finding the Third Proportional to 78,100,620 and 162,665,572

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Solution

The third proportional to 78,100,620 and 162,665,572 is: 338,794,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,620 : 162,665,572 = 162,665,572 : x
  2. Step 2: Convert to fraction form
    78,100,620/162,665,572 = 162,665,572/x
  3. Step 3: Cross multiply
    78,100,620x = 162,665,572 × 162,665,572
  4. Step 4: Simplify right side
    78,100,620x = 26,460,088,314,087,184
  5. Step 5: Solve for x
    x = 26,460,088,314,087,184/78,100,620
  6. Step 6: Final answer
    x = 338,794,856.10

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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.