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Finding the Third Proportional to 175,055 and 257,070

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Solution

The third proportional to 175,055 and 257,070 is: 377,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,055 : 257,070 = 257,070 : x
  2. Step 2: Convert to fraction form
    175,055/257,070 = 257,070/x
  3. Step 3: Cross multiply
    175,055x = 257,070 × 257,070
  4. Step 4: Simplify right side
    175,055x = 66,084,984,900
  5. Step 5: Solve for x
    x = 66,084,984,900/175,055
  6. Step 6: Final answer
    x = 377,509.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.