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Finding the Third Proportional to 290,574 and 615,771

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Solution

The third proportional to 290,574 and 615,771 is: 1,304,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,574 : 615,771 = 615,771 : x
  2. Step 2: Convert to fraction form
    290,574/615,771 = 615,771/x
  3. Step 3: Cross multiply
    290,574x = 615,771 × 615,771
  4. Step 4: Simplify right side
    290,574x = 379,173,924,441
  5. Step 5: Solve for x
    x = 379,173,924,441/290,574
  6. Step 6: Final answer
    x = 1,304,913.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.