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Finding the Third Proportional to 619,490 and 872,390

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Solution

The third proportional to 619,490 and 872,390 is: 1,228,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,490 : 872,390 = 872,390 : x
  2. Step 2: Convert to fraction form
    619,490/872,390 = 872,390/x
  3. Step 3: Cross multiply
    619,490x = 872,390 × 872,390
  4. Step 4: Simplify right side
    619,490x = 761,064,312,100
  5. Step 5: Solve for x
    x = 761,064,312,100/619,490
  6. Step 6: Final answer
    x = 1,228,533.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.