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Finding the Third Proportional to 285,008 and 615,688

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Solution

The third proportional to 285,008 and 615,688 is: 1,330,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,008 : 615,688 = 615,688 : x
  2. Step 2: Convert to fraction form
    285,008/615,688 = 615,688/x
  3. Step 3: Cross multiply
    285,008x = 615,688 × 615,688
  4. Step 4: Simplify right side
    285,008x = 379,071,713,344
  5. Step 5: Solve for x
    x = 379,071,713,344/285,008
  6. Step 6: Final answer
    x = 1,330,038.85

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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.