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Finding the Third Proportional to 352,730 and 540,489

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Solution

The third proportional to 352,730 and 540,489 is: 828,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,730 : 540,489 = 540,489 : x
  2. Step 2: Convert to fraction form
    352,730/540,489 = 540,489/x
  3. Step 3: Cross multiply
    352,730x = 540,489 × 540,489
  4. Step 4: Simplify right side
    352,730x = 292,128,359,121
  5. Step 5: Solve for x
    x = 292,128,359,121/352,730
  6. Step 6: Final answer
    x = 828,192.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.