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Finding the Third Proportional to 439,350 and 643,473

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Solution

The third proportional to 439,350 and 643,473 is: 942,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,350 : 643,473 = 643,473 : x
  2. Step 2: Convert to fraction form
    439,350/643,473 = 643,473/x
  3. Step 3: Cross multiply
    439,350x = 643,473 × 643,473
  4. Step 4: Simplify right side
    439,350x = 414,057,501,729
  5. Step 5: Solve for x
    x = 414,057,501,729/439,350
  6. Step 6: Final answer
    x = 942,432.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.