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Finding the Third Proportional to 116,760,192,492 and 254,922,575,460

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Solution

The third proportional to 116,760,192,492 and 254,922,575,460 is: 556,572,562,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,760,192,492 : 254,922,575,460 = 254,922,575,460 : x
  2. Step 2: Convert to fraction form
    116,760,192,492/254,922,575,460 = 254,922,575,460/x
  3. Step 3: Cross multiply
    116,760,192,492x = 254,922,575,460 × 254,922,575,460
  4. Step 4: Simplify right side
    116,760,192,492x = 64,985,519,479,159,391,256,576
  5. Step 5: Solve for x
    x = 64,985,519,479,159,391,256,576/116,760,192,492
  6. Step 6: Final answer
    x = 556,572,562,036.60

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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.