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Finding the Third Proportional to 402,052 and 845,432

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Solution

The third proportional to 402,052 and 845,432 is: 1,777,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,052 : 845,432 = 845,432 : x
  2. Step 2: Convert to fraction form
    402,052/845,432 = 845,432/x
  3. Step 3: Cross multiply
    402,052x = 845,432 × 845,432
  4. Step 4: Simplify right side
    402,052x = 714,755,266,624
  5. Step 5: Solve for x
    x = 714,755,266,624/402,052
  6. Step 6: Final answer
    x = 1,777,768.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.