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Finding the Third Proportional to 171,938,715 and 377,655,243

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Solution

The third proportional to 171,938,715 and 377,655,243 is: 829,501,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,938,715 : 377,655,243 = 377,655,243 : x
  2. Step 2: Convert to fraction form
    171,938,715/377,655,243 = 377,655,243/x
  3. Step 3: Cross multiply
    171,938,715x = 377,655,243 × 377,655,243
  4. Step 4: Simplify right side
    171,938,715x = 142,623,482,565,389,056
  5. Step 5: Solve for x
    x = 142,623,482,565,389,056/171,938,715
  6. Step 6: Final answer
    x = 829,501,852.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.