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Finding the Third Proportional to 53,218 and 79,365

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Solution

The third proportional to 53,218 and 79,365 is: 118,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,218 : 79,365 = 79,365 : x
  2. Step 2: Convert to fraction form
    53,218/79,365 = 79,365/x
  3. Step 3: Cross multiply
    53,218x = 79,365 × 79,365
  4. Step 4: Simplify right side
    53,218x = 6,298,803,225
  5. Step 5: Solve for x
    x = 6,298,803,225/53,218
  6. Step 6: Final answer
    x = 118,358.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.