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Finding the Third Proportional to 285,020 and 615,724

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Solution

The third proportional to 285,020 and 615,724 is: 1,330,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,020 : 615,724 = 615,724 : x
  2. Step 2: Convert to fraction form
    285,020/615,724 = 615,724/x
  3. Step 3: Cross multiply
    285,020x = 615,724 × 615,724
  4. Step 4: Simplify right side
    285,020x = 379,116,044,176
  5. Step 5: Solve for x
    x = 379,116,044,176/285,020
  6. Step 6: Final answer
    x = 1,330,138.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.