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Finding the Third Proportional to 163,242 and 256,365

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Solution

The third proportional to 163,242 and 256,365 is: 402,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,242 : 256,365 = 256,365 : x
  2. Step 2: Convert to fraction form
    163,242/256,365 = 256,365/x
  3. Step 3: Cross multiply
    163,242x = 256,365 × 256,365
  4. Step 4: Simplify right side
    163,242x = 65,723,013,225
  5. Step 5: Solve for x
    x = 65,723,013,225/163,242
  6. Step 6: Final answer
    x = 402,610.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.