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Finding the Third Proportional to 285,052.78 and 619,721.81

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Solution

The third proportional to 285,052.78 and 619,721.81 is: 1,347,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,052.78 : 619,721.81 = 619,721.81 : x
  2. Step 2: Convert to fraction form
    285,052.78/619,721.81 = 619,721.81/x
  3. Step 3: Cross multiply
    285,052.78x = 619,721.81 × 619,721.81
  4. Step 4: Simplify right side
    285,052.78x = 384,055,124,888.29
  5. Step 5: Solve for x
    x = 384,055,124,888.29/285,052.78
  6. Step 6: Final answer
    x = 1,347,312.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.