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Finding the Third Proportional to 258,709 and 565,513

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Solution

The third proportional to 258,709 and 565,513 is: 1,236,157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,709 : 565,513 = 565,513 : x
  2. Step 2: Convert to fraction form
    258,709/565,513 = 565,513/x
  3. Step 3: Cross multiply
    258,709x = 565,513 × 565,513
  4. Step 4: Simplify right side
    258,709x = 319,804,953,169
  5. Step 5: Solve for x
    x = 319,804,953,169/258,709
  6. Step 6: Final answer
    x = 1,236,157.05

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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.