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Finding the Third Proportional to 270,513 and 578,550

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Solution

The third proportional to 270,513 and 578,550 is: 1,237,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,513 : 578,550 = 578,550 : x
  2. Step 2: Convert to fraction form
    270,513/578,550 = 578,550/x
  3. Step 3: Cross multiply
    270,513x = 578,550 × 578,550
  4. Step 4: Simplify right side
    270,513x = 334,720,102,500
  5. Step 5: Solve for x
    x = 334,720,102,500/270,513
  6. Step 6: Final answer
    x = 1,237,353.11

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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.