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Finding the Third Proportional to 78,465,775.50 and 107,712,087.75

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Solution

The third proportional to 78,465,775.50 and 107,712,087.75 is: 147,859,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465,775.50 : 107,712,087.75 = 107,712,087.75 : x
  2. Step 2: Convert to fraction form
    78,465,775.50/107,712,087.75 = 107,712,087.75/x
  3. Step 3: Cross multiply
    78,465,775.50x = 107,712,087.75 × 107,712,087.75
  4. Step 4: Simplify right side
    78,465,775.50x = 11,601,893,847,463,700
  5. Step 5: Solve for x
    x = 11,601,893,847,463,700/78,465,775.50
  6. Step 6: Final answer
    x = 147,859,289.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.