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Finding the Third Proportional to 257,572 and 378,640

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Solution

The third proportional to 257,572 and 378,640 is: 556,614.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,572 : 378,640 = 378,640 : x
  2. Step 2: Convert to fraction form
    257,572/378,640 = 378,640/x
  3. Step 3: Cross multiply
    257,572x = 378,640 × 378,640
  4. Step 4: Simplify right side
    257,572x = 143,368,249,600
  5. Step 5: Solve for x
    x = 143,368,249,600/257,572
  6. Step 6: Final answer
    x = 556,614.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.