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Finding the Third Proportional to 257,579 and 559,492.25

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Solution

The third proportional to 257,579 and 559,492.25 is: 1,215,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,579 : 559,492.25 = 559,492.25 : x
  2. Step 2: Convert to fraction form
    257,579/559,492.25 = 559,492.25/x
  3. Step 3: Cross multiply
    257,579x = 559,492.25 × 559,492.25
  4. Step 4: Simplify right side
    257,579x = 313,031,577,810.06
  5. Step 5: Solve for x
    x = 313,031,577,810.06/257,579
  6. Step 6: Final answer
    x = 1,215,283.77

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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.