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Finding the Third Proportional to 390,770 and 584,516

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Solution

The third proportional to 390,770 and 584,516 is: 874,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,770 : 584,516 = 584,516 : x
  2. Step 2: Convert to fraction form
    390,770/584,516 = 584,516/x
  3. Step 3: Cross multiply
    390,770x = 584,516 × 584,516
  4. Step 4: Simplify right side
    390,770x = 341,658,954,256
  5. Step 5: Solve for x
    x = 341,658,954,256/390,770
  6. Step 6: Final answer
    x = 874,322.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.