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Finding the Third Proportional to 51,122 and 78,547

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Solution

The third proportional to 51,122 and 78,547 is: 120,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,122 : 78,547 = 78,547 : x
  2. Step 2: Convert to fraction form
    51,122/78,547 = 78,547/x
  3. Step 3: Cross multiply
    51,122x = 78,547 × 78,547
  4. Step 4: Simplify right side
    51,122x = 6,169,631,209
  5. Step 5: Solve for x
    x = 6,169,631,209/51,122
  6. Step 6: Final answer
    x = 120,684.46

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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.