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Finding the Third Proportional to 656,390 and 983,490

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Solution

The third proportional to 656,390 and 983,490 is: 1,473,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,390 : 983,490 = 983,490 : x
  2. Step 2: Convert to fraction form
    656,390/983,490 = 983,490/x
  3. Step 3: Cross multiply
    656,390x = 983,490 × 983,490
  4. Step 4: Simplify right side
    656,390x = 967,252,580,100
  5. Step 5: Solve for x
    x = 967,252,580,100/656,390
  6. Step 6: Final answer
    x = 1,473,594.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.