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Finding the Third Proportional to 784,115.86 and 1,220,897.39

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Solution

The third proportional to 784,115.86 and 1,220,897.39 is: 1,900,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,115.86 : 1,220,897.39 = 1,220,897.39 : x
  2. Step 2: Convert to fraction form
    784,115.86/1,220,897.39 = 1,220,897.39/x
  3. Step 3: Cross multiply
    784,115.86x = 1,220,897.39 × 1,220,897.39
  4. Step 4: Simplify right side
    784,115.86x = 1,490,590,438,434.93
  5. Step 5: Solve for x
    x = 1,490,590,438,434.93/784,115.86
  6. Step 6: Final answer
    x = 1,900,982.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.