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Finding the Third Proportional to 407,440 and 611,928

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Solution

The third proportional to 407,440 and 611,928 is: 919,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,440 : 611,928 = 611,928 : x
  2. Step 2: Convert to fraction form
    407,440/611,928 = 611,928/x
  3. Step 3: Cross multiply
    407,440x = 611,928 × 611,928
  4. Step 4: Simplify right side
    407,440x = 374,455,877,184
  5. Step 5: Solve for x
    x = 374,455,877,184/407,440
  6. Step 6: Final answer
    x = 919,045.45

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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.