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Finding the Third Proportional to 70,720,735.50 and 106,344,292.50

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Solution

The third proportional to 70,720,735.50 and 106,344,292.50 is: 159,912,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,720,735.50 : 106,344,292.50 = 106,344,292.50 : x
  2. Step 2: Convert to fraction form
    70,720,735.50/106,344,292.50 = 106,344,292.50/x
  3. Step 3: Cross multiply
    70,720,735.50x = 106,344,292.50 × 106,344,292.50
  4. Step 4: Simplify right side
    70,720,735.50x = 11,309,108,547,325,556
  5. Step 5: Solve for x
    x = 11,309,108,547,325,556/70,720,735.50
  6. Step 6: Final answer
    x = 159,912,202.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.