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Finding the Third Proportional to 124,751,654,082 and 272,363,767,686

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Solution

The third proportional to 124,751,654,082 and 272,363,767,686 is: 594,637,582,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,751,654,082 : 272,363,767,686 = 272,363,767,686 : x
  2. Step 2: Convert to fraction form
    124,751,654,082/272,363,767,686 = 272,363,767,686/x
  3. Step 3: Cross multiply
    124,751,654,082x = 272,363,767,686 × 272,363,767,686
  4. Step 4: Simplify right side
    124,751,654,082x = 74,182,021,948,113,374,150,656
  5. Step 5: Solve for x
    x = 74,182,021,948,113,374,150,656/124,751,654,082
  6. Step 6: Final answer
    x = 594,637,582,114.57

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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.