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Finding the Third Proportional to 685,937.53 and 1,018,956.59

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Solution

The third proportional to 685,937.53 and 1,018,956.59 is: 1,513,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,937.53 : 1,018,956.59 = 1,018,956.59 : x
  2. Step 2: Convert to fraction form
    685,937.53/1,018,956.59 = 1,018,956.59/x
  3. Step 3: Cross multiply
    685,937.53x = 1,018,956.59 × 1,018,956.59
  4. Step 4: Simplify right side
    685,937.53x = 1,038,272,524,025.41
  5. Step 5: Solve for x
    x = 1,038,272,524,025.41/685,937.53
  6. Step 6: Final answer
    x = 1,513,654.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.