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Finding the Third Proportional to 78,025 and 169,335

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Solution

The third proportional to 78,025 and 169,335 is: 367,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,025 : 169,335 = 169,335 : x
  2. Step 2: Convert to fraction form
    78,025/169,335 = 169,335/x
  3. Step 3: Cross multiply
    78,025x = 169,335 × 169,335
  4. Step 4: Simplify right side
    78,025x = 28,674,342,225
  5. Step 5: Solve for x
    x = 28,674,342,225/78,025
  6. Step 6: Final answer
    x = 367,501.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.