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Finding the Third Proportional to 255,402 and 555,480

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Solution

The third proportional to 255,402 and 555,480 is: 1,208,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,402 : 555,480 = 555,480 : x
  2. Step 2: Convert to fraction form
    255,402/555,480 = 555,480/x
  3. Step 3: Cross multiply
    255,402x = 555,480 × 555,480
  4. Step 4: Simplify right side
    255,402x = 308,558,030,400
  5. Step 5: Solve for x
    x = 308,558,030,400/255,402
  6. Step 6: Final answer
    x = 1,208,126.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.