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Finding the Third Proportional to 77,054,037 and 116,234,242.50

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Solution

The third proportional to 77,054,037 and 116,234,242.50 is: 175,336,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,054,037 : 116,234,242.50 = 116,234,242.50 : x
  2. Step 2: Convert to fraction form
    77,054,037/116,234,242.50 = 116,234,242.50/x
  3. Step 3: Cross multiply
    77,054,037x = 116,234,242.50 × 116,234,242.50
  4. Step 4: Simplify right side
    77,054,037x = 13,510,399,129,548,806
  5. Step 5: Solve for x
    x = 13,510,399,129,548,806/77,054,037
  6. Step 6: Final answer
    x = 175,336,681.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.