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Finding the Third Proportional to 826,803 and 1,240,209

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Solution

The third proportional to 826,803 and 1,240,209 is: 1,860,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,803 : 1,240,209 = 1,240,209 : x
  2. Step 2: Convert to fraction form
    826,803/1,240,209 = 1,240,209/x
  3. Step 3: Cross multiply
    826,803x = 1,240,209 × 1,240,209
  4. Step 4: Simplify right side
    826,803x = 1,538,118,363,681
  5. Step 5: Solve for x
    x = 1,538,118,363,681/826,803
  6. Step 6: Final answer
    x = 1,860,320.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.