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Finding the Third Proportional to 140,931,385 and 215,609,239

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Solution

The third proportional to 140,931,385 and 215,609,239 is: 329,857,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,931,385 : 215,609,239 = 215,609,239 : x
  2. Step 2: Convert to fraction form
    140,931,385/215,609,239 = 215,609,239/x
  3. Step 3: Cross multiply
    140,931,385x = 215,609,239 × 215,609,239
  4. Step 4: Simplify right side
    140,931,385x = 46,487,343,942,159,120
  5. Step 5: Solve for x
    x = 46,487,343,942,159,120/140,931,385
  6. Step 6: Final answer
    x = 329,857,993.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.