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Finding the Third Proportional to 403,564 and 565,585

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Solution

The third proportional to 403,564 and 565,585 is: 792,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,564 : 565,585 = 565,585 : x
  2. Step 2: Convert to fraction form
    403,564/565,585 = 565,585/x
  3. Step 3: Cross multiply
    403,564x = 565,585 × 565,585
  4. Step 4: Simplify right side
    403,564x = 319,886,392,225
  5. Step 5: Solve for x
    x = 319,886,392,225/403,564
  6. Step 6: Final answer
    x = 792,653.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.