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Finding the Third Proportional to 933,396 and 1,408,646

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Solution

The third proportional to 933,396 and 1,408,646 is: 2,125,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,396 : 1,408,646 = 1,408,646 : x
  2. Step 2: Convert to fraction form
    933,396/1,408,646 = 1,408,646/x
  3. Step 3: Cross multiply
    933,396x = 1,408,646 × 1,408,646
  4. Step 4: Simplify right side
    933,396x = 1,984,283,553,316
  5. Step 5: Solve for x
    x = 1,984,283,553,316/933,396
  6. Step 6: Final answer
    x = 2,125,875.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.