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Finding the Third Proportional to 256,445.63 and 558,043.50

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Solution

The third proportional to 256,445.63 and 558,043.50 is: 1,214,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,445.63 : 558,043.50 = 558,043.50 : x
  2. Step 2: Convert to fraction form
    256,445.63/558,043.50 = 558,043.50/x
  3. Step 3: Cross multiply
    256,445.63x = 558,043.50 × 558,043.50
  4. Step 4: Simplify right side
    256,445.63x = 311,412,547,892.25
  5. Step 5: Solve for x
    x = 311,412,547,892.25/256,445.63
  6. Step 6: Final answer
    x = 1,214,341.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.