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Finding the Third Proportional to 51,159,507 and 78,636,669

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Solution

The third proportional to 51,159,507 and 78,636,669 is: 120,871,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,159,507 : 78,636,669 = 78,636,669 : x
  2. Step 2: Convert to fraction form
    51,159,507/78,636,669 = 78,636,669/x
  3. Step 3: Cross multiply
    51,159,507x = 78,636,669 × 78,636,669
  4. Step 4: Simplify right side
    51,159,507x = 6,183,725,711,415,561
  5. Step 5: Solve for x
    x = 6,183,725,711,415,561/51,159,507
  6. Step 6: Final answer
    x = 120,871,487.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.