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Finding the Third Proportional to 301,521 and 409,492.50

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Solution

The third proportional to 301,521 and 409,492.50 is: 556,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,521 : 409,492.50 = 409,492.50 : x
  2. Step 2: Convert to fraction form
    301,521/409,492.50 = 409,492.50/x
  3. Step 3: Cross multiply
    301,521x = 409,492.50 × 409,492.50
  4. Step 4: Simplify right side
    301,521x = 167,684,107,556.25
  5. Step 5: Solve for x
    x = 167,684,107,556.25/301,521
  6. Step 6: Final answer
    x = 556,127.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.