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Finding the Third Proportional to 256,740 and 375,603

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Solution

The third proportional to 256,740 and 375,603 is: 549,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,740 : 375,603 = 375,603 : x
  2. Step 2: Convert to fraction form
    256,740/375,603 = 375,603/x
  3. Step 3: Cross multiply
    256,740x = 375,603 × 375,603
  4. Step 4: Simplify right side
    256,740x = 141,077,613,609
  5. Step 5: Solve for x
    x = 141,077,613,609/256,740
  6. Step 6: Final answer
    x = 549,496.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.