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Finding the Third Proportional to 78,548,683 and 165,237,378

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Solution

The third proportional to 78,548,683 and 165,237,378 is: 347,598,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,548,683 : 165,237,378 = 165,237,378 : x
  2. Step 2: Convert to fraction form
    78,548,683/165,237,378 = 165,237,378/x
  3. Step 3: Cross multiply
    78,548,683x = 165,237,378 × 165,237,378
  4. Step 4: Simplify right side
    78,548,683x = 27,303,391,088,314,884
  5. Step 5: Solve for x
    x = 27,303,391,088,314,884/78,548,683
  6. Step 6: Final answer
    x = 347,598,330.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.