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Finding the Third Proportional to 656,988 and 939,420

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Solution

The third proportional to 656,988 and 939,420 is: 1,343,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,988 : 939,420 = 939,420 : x
  2. Step 2: Convert to fraction form
    656,988/939,420 = 939,420/x
  3. Step 3: Cross multiply
    656,988x = 939,420 × 939,420
  4. Step 4: Simplify right side
    656,988x = 882,509,936,400
  5. Step 5: Solve for x
    x = 882,509,936,400/656,988
  6. Step 6: Final answer
    x = 1,343,266.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.