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Finding the Third Proportional to 124,480 and 266,240

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Solution

The third proportional to 124,480 and 266,240 is: 569,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,480 : 266,240 = 266,240 : x
  2. Step 2: Convert to fraction form
    124,480/266,240 = 266,240/x
  3. Step 3: Cross multiply
    124,480x = 266,240 × 266,240
  4. Step 4: Simplify right side
    124,480x = 70,883,737,600
  5. Step 5: Solve for x
    x = 70,883,737,600/124,480
  6. Step 6: Final answer
    x = 569,438.77

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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.