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Finding the Third Proportional to 141,362,902,642 and 198,360,136,416

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Solution

The third proportional to 141,362,902,642 and 198,360,136,416 is: 278,338,538,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,362,902,642 : 198,360,136,416 = 198,360,136,416 : x
  2. Step 2: Convert to fraction form
    141,362,902,642/198,360,136,416 = 198,360,136,416/x
  3. Step 3: Cross multiply
    141,362,902,642x = 198,360,136,416 × 198,360,136,416
  4. Step 4: Simplify right side
    141,362,902,642x = 39,346,743,718,974,125,506,560
  5. Step 5: Solve for x
    x = 39,346,743,718,974,125,506,560/141,362,902,642
  6. Step 6: Final answer
    x = 278,338,538,496.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.