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Finding the Third Proportional to 30,450,609 and 71,860,347

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Solution

The third proportional to 30,450,609 and 71,860,347 is: 169,583,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450,609 : 71,860,347 = 71,860,347 : x
  2. Step 2: Convert to fraction form
    30,450,609/71,860,347 = 71,860,347/x
  3. Step 3: Cross multiply
    30,450,609x = 71,860,347 × 71,860,347
  4. Step 4: Simplify right side
    30,450,609x = 5,163,909,470,960,409
  5. Step 5: Solve for x
    x = 5,163,909,470,960,409/30,450,609
  6. Step 6: Final answer
    x = 169,583,126.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.