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Finding the Third Proportional to 358,680 and 540,708

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Solution

The third proportional to 358,680 and 540,708 is: 815,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,680 : 540,708 = 540,708 : x
  2. Step 2: Convert to fraction form
    358,680/540,708 = 540,708/x
  3. Step 3: Cross multiply
    358,680x = 540,708 × 540,708
  4. Step 4: Simplify right side
    358,680x = 292,365,141,264
  5. Step 5: Solve for x
    x = 292,365,141,264/358,680
  6. Step 6: Final answer
    x = 815,114.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.