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Finding the Third Proportional to 255,420 and 547,513.50

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Solution

The third proportional to 255,420 and 547,513.50 is: 1,173,639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,420 : 547,513.50 = 547,513.50 : x
  2. Step 2: Convert to fraction form
    255,420/547,513.50 = 547,513.50/x
  3. Step 3: Cross multiply
    255,420x = 547,513.50 × 547,513.50
  4. Step 4: Simplify right side
    255,420x = 299,771,032,682.25
  5. Step 5: Solve for x
    x = 299,771,032,682.25/255,420
  6. Step 6: Final answer
    x = 1,173,639.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.