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Finding the Third Proportional to 582,422,587.31 and 787,146,768.84

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Solution

The third proportional to 582,422,587.31 and 787,146,768.84 is: 1,063,832,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,422,587.31 : 787,146,768.84 = 787,146,768.84 : x
  2. Step 2: Convert to fraction form
    582,422,587.31/787,146,768.84 = 787,146,768.84/x
  3. Step 3: Cross multiply
    582,422,587.31x = 787,146,768.84 × 787,146,768.84
  4. Step 4: Simplify right side
    582,422,587.31x = 619,600,035,701,155,968
  5. Step 5: Solve for x
    x = 619,600,035,701,155,968/582,422,587.31
  6. Step 6: Final answer
    x = 1,063,832,428.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.