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Finding the Third Proportional to 254,388 and 402,724

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Solution

The third proportional to 254,388 and 402,724 is: 637,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,388 : 402,724 = 402,724 : x
  2. Step 2: Convert to fraction form
    254,388/402,724 = 402,724/x
  3. Step 3: Cross multiply
    254,388x = 402,724 × 402,724
  4. Step 4: Simplify right side
    254,388x = 162,186,620,176
  5. Step 5: Solve for x
    x = 162,186,620,176/254,388
  6. Step 6: Final answer
    x = 637,556.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.