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Finding the Third Proportional to 359,904 and 558,720

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Solution

The third proportional to 359,904 and 558,720 is: 867,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,904 : 558,720 = 558,720 : x
  2. Step 2: Convert to fraction form
    359,904/558,720 = 558,720/x
  3. Step 3: Cross multiply
    359,904x = 558,720 × 558,720
  4. Step 4: Simplify right side
    359,904x = 312,168,038,400
  5. Step 5: Solve for x
    x = 312,168,038,400/359,904
  6. Step 6: Final answer
    x = 867,364.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.