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Finding the Third Proportional to 393,669 and 577,585

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Solution

The third proportional to 393,669 and 577,585 is: 847,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,669 : 577,585 = 577,585 : x
  2. Step 2: Convert to fraction form
    393,669/577,585 = 577,585/x
  3. Step 3: Cross multiply
    393,669x = 577,585 × 577,585
  4. Step 4: Simplify right side
    393,669x = 333,604,432,225
  5. Step 5: Solve for x
    x = 333,604,432,225/393,669
  6. Step 6: Final answer
    x = 847,423.68

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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.