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Finding the Third Proportional to 387,000 and 569,124

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Solution

The third proportional to 387,000 and 569,124 is: 836,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,000 : 569,124 = 569,124 : x
  2. Step 2: Convert to fraction form
    387,000/569,124 = 569,124/x
  3. Step 3: Cross multiply
    387,000x = 569,124 × 569,124
  4. Step 4: Simplify right side
    387,000x = 323,902,127,376
  5. Step 5: Solve for x
    x = 323,902,127,376/387,000
  6. Step 6: Final answer
    x = 836,956.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.