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Finding the Third Proportional to 393,371 and 607,432

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Solution

The third proportional to 393,371 and 607,432 is: 937,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,371 : 607,432 = 607,432 : x
  2. Step 2: Convert to fraction form
    393,371/607,432 = 607,432/x
  3. Step 3: Cross multiply
    393,371x = 607,432 × 607,432
  4. Step 4: Simplify right side
    393,371x = 368,973,634,624
  5. Step 5: Solve for x
    x = 368,973,634,624/393,371
  6. Step 6: Final answer
    x = 937,978.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.