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Finding the Third Proportional to 153,991,045 and 320,720,271.50

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Solution

The third proportional to 153,991,045 and 320,720,271.50 is: 667,970,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,991,045 : 320,720,271.50 = 320,720,271.50 : x
  2. Step 2: Convert to fraction form
    153,991,045/320,720,271.50 = 320,720,271.50/x
  3. Step 3: Cross multiply
    153,991,045x = 320,720,271.50 × 320,720,271.50
  4. Step 4: Simplify right side
    153,991,045x = 102,861,492,551,033,712
  5. Step 5: Solve for x
    x = 102,861,492,551,033,712/153,991,045
  6. Step 6: Final answer
    x = 667,970,611.87

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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.