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Finding the Third Proportional to 139,041,855 and 210,352,295

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Solution

The third proportional to 139,041,855 and 210,352,295 is: 318,235,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,041,855 : 210,352,295 = 210,352,295 : x
  2. Step 2: Convert to fraction form
    139,041,855/210,352,295 = 210,352,295/x
  3. Step 3: Cross multiply
    139,041,855x = 210,352,295 × 210,352,295
  4. Step 4: Simplify right side
    139,041,855x = 44,248,088,011,767,024
  5. Step 5: Solve for x
    x = 44,248,088,011,767,024/139,041,855
  6. Step 6: Final answer
    x = 318,235,742.84

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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.