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Finding the Third Proportional to 117,312 and 255,577

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Solution

The third proportional to 117,312 and 255,577 is: 556,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,312 : 255,577 = 255,577 : x
  2. Step 2: Convert to fraction form
    117,312/255,577 = 255,577/x
  3. Step 3: Cross multiply
    117,312x = 255,577 × 255,577
  4. Step 4: Simplify right side
    117,312x = 65,319,602,929
  5. Step 5: Solve for x
    x = 65,319,602,929/117,312
  6. Step 6: Final answer
    x = 556,802.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.