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Finding the Third Proportional to 78,093,011.50 and 114,264,852

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Solution

The third proportional to 78,093,011.50 and 114,264,852 is: 167,191,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093,011.50 : 114,264,852 = 114,264,852 : x
  2. Step 2: Convert to fraction form
    78,093,011.50/114,264,852 = 114,264,852/x
  3. Step 3: Cross multiply
    78,093,011.50x = 114,264,852 × 114,264,852
  4. Step 4: Simplify right side
    78,093,011.50x = 13,056,456,402,581,904
  5. Step 5: Solve for x
    x = 13,056,456,402,581,904/78,093,011.50
  6. Step 6: Final answer
    x = 167,191,098.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.