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Finding the Third Proportional to 387,317 and 528,034

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Solution

The third proportional to 387,317 and 528,034 is: 719,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,317 : 528,034 = 528,034 : x
  2. Step 2: Convert to fraction form
    387,317/528,034 = 528,034/x
  3. Step 3: Cross multiply
    387,317x = 528,034 × 528,034
  4. Step 4: Simplify right side
    387,317x = 278,819,905,156
  5. Step 5: Solve for x
    x = 278,819,905,156/387,317
  6. Step 6: Final answer
    x = 719,875.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.