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Finding the Third Proportional to 245,688 and 516,132

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Solution

The third proportional to 245,688 and 516,132 is: 1,084,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,688 : 516,132 = 516,132 : x
  2. Step 2: Convert to fraction form
    245,688/516,132 = 516,132/x
  3. Step 3: Cross multiply
    245,688x = 516,132 × 516,132
  4. Step 4: Simplify right side
    245,688x = 266,392,241,424
  5. Step 5: Solve for x
    x = 266,392,241,424/245,688
  6. Step 6: Final answer
    x = 1,084,270.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.