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Finding the Third Proportional to 256,784 and 618,572

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Solution

The third proportional to 256,784 and 618,572 is: 1,490,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,784 : 618,572 = 618,572 : x
  2. Step 2: Convert to fraction form
    256,784/618,572 = 618,572/x
  3. Step 3: Cross multiply
    256,784x = 618,572 × 618,572
  4. Step 4: Simplify right side
    256,784x = 382,631,319,184
  5. Step 5: Solve for x
    x = 382,631,319,184/256,784
  6. Step 6: Final answer
    x = 1,490,090.19

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.