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Finding the Third Proportional to 513,783 and 790,681.50

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Solution

The third proportional to 513,783 and 790,681.50 is: 1,216,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,783 : 790,681.50 = 790,681.50 : x
  2. Step 2: Convert to fraction form
    513,783/790,681.50 = 790,681.50/x
  3. Step 3: Cross multiply
    513,783x = 790,681.50 × 790,681.50
  4. Step 4: Simplify right side
    513,783x = 625,177,234,442.25
  5. Step 5: Solve for x
    x = 625,177,234,442.25/513,783
  6. Step 6: Final answer
    x = 1,216,811.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.