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Finding the Third Proportional to 79,988 and 114,309

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Solution

The third proportional to 79,988 and 114,309 is: 163,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,988 : 114,309 = 114,309 : x
  2. Step 2: Convert to fraction form
    79,988/114,309 = 114,309/x
  3. Step 3: Cross multiply
    79,988x = 114,309 × 114,309
  4. Step 4: Simplify right side
    79,988x = 13,066,547,481
  5. Step 5: Solve for x
    x = 13,066,547,481/79,988
  6. Step 6: Final answer
    x = 163,356.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.