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Finding the Third Proportional to 65,220,505 and 142,160,415

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Solution

The third proportional to 65,220,505 and 142,160,415 is: 309,865,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,220,505 : 142,160,415 = 142,160,415 : x
  2. Step 2: Convert to fraction form
    65,220,505/142,160,415 = 142,160,415/x
  3. Step 3: Cross multiply
    65,220,505x = 142,160,415 × 142,160,415
  4. Step 4: Simplify right side
    65,220,505x = 20,209,583,592,972,224
  5. Step 5: Solve for x
    x = 20,209,583,592,972,224/65,220,505
  6. Step 6: Final answer
    x = 309,865,487.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.