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Finding the Third Proportional to 646,392 and 869,532

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Solution

The third proportional to 646,392 and 869,532 is: 1,169,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,392 : 869,532 = 869,532 : x
  2. Step 2: Convert to fraction form
    646,392/869,532 = 869,532/x
  3. Step 3: Cross multiply
    646,392x = 869,532 × 869,532
  4. Step 4: Simplify right side
    646,392x = 756,085,899,024
  5. Step 5: Solve for x
    x = 756,085,899,024/646,392
  6. Step 6: Final answer
    x = 1,169,701.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.