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Finding the Third Proportional to 256,038.47 and 561,056.63

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Solution

The third proportional to 256,038.47 and 561,056.63 is: 1,229,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,038.47 : 561,056.63 = 561,056.63 : x
  2. Step 2: Convert to fraction form
    256,038.47/561,056.63 = 561,056.63/x
  3. Step 3: Cross multiply
    256,038.47x = 561,056.63 × 561,056.63
  4. Step 4: Simplify right side
    256,038.47x = 314,784,536,456.39
  5. Step 5: Solve for x
    x = 314,784,536,456.39/256,038.47
  6. Step 6: Final answer
    x = 1,229,442.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.