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Finding the Third Proportional to 257,607 and 559,572

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Solution

The third proportional to 257,607 and 559,572 is: 1,215,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,607 : 559,572 = 559,572 : x
  2. Step 2: Convert to fraction form
    257,607/559,572 = 559,572/x
  3. Step 3: Cross multiply
    257,607x = 559,572 × 559,572
  4. Step 4: Simplify right side
    257,607x = 313,120,823,184
  5. Step 5: Solve for x
    x = 313,120,823,184/257,607
  6. Step 6: Final answer
    x = 1,215,498.12

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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.