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Finding the Third Proportional to 219,381,609,390 and 308,937,648,888

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Solution

The third proportional to 219,381,609,390 and 308,937,648,888 is: 435,052,287,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,381,609,390 : 308,937,648,888 = 308,937,648,888 : x
  2. Step 2: Convert to fraction form
    219,381,609,390/308,937,648,888 = 308,937,648,888/x
  3. Step 3: Cross multiply
    219,381,609,390x = 308,937,648,888 × 308,937,648,888
  4. Step 4: Simplify right side
    219,381,609,390x = 95,442,470,900,445,170,630,656
  5. Step 5: Solve for x
    x = 95,442,470,900,445,170,630,656/219,381,609,390
  6. Step 6: Final answer
    x = 435,052,287,043.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.