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Finding the Third Proportional to 176,507 and 266,420

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Solution

The third proportional to 176,507 and 266,420 is: 402,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,507 : 266,420 = 266,420 : x
  2. Step 2: Convert to fraction form
    176,507/266,420 = 266,420/x
  3. Step 3: Cross multiply
    176,507x = 266,420 × 266,420
  4. Step 4: Simplify right side
    176,507x = 70,979,616,400
  5. Step 5: Solve for x
    x = 70,979,616,400/176,507
  6. Step 6: Final answer
    x = 402,134.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.