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Finding the Third Proportional to 81,194,724 and 117,312,380

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Solution

The third proportional to 81,194,724 and 117,312,380 is: 169,496,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,194,724 : 117,312,380 = 117,312,380 : x
  2. Step 2: Convert to fraction form
    81,194,724/117,312,380 = 117,312,380/x
  3. Step 3: Cross multiply
    81,194,724x = 117,312,380 × 117,312,380
  4. Step 4: Simplify right side
    81,194,724x = 13,762,194,501,264,400
  5. Step 5: Solve for x
    x = 13,762,194,501,264,400/81,194,724
  6. Step 6: Final answer
    x = 169,496,167.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.