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Finding the Third Proportional to 30,653,818 and 51,087,639

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Solution

The third proportional to 30,653,818 and 51,087,639 is: 85,142,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653,818 : 51,087,639 = 51,087,639 : x
  2. Step 2: Convert to fraction form
    30,653,818/51,087,639 = 51,087,639/x
  3. Step 3: Cross multiply
    30,653,818x = 51,087,639 × 51,087,639
  4. Step 4: Simplify right side
    30,653,818x = 2,609,946,858,594,321
  5. Step 5: Solve for x
    x = 2,609,946,858,594,321/30,653,818
  6. Step 6: Final answer
    x = 85,142,635.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.