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Finding the Third Proportional to 403,480 and 565,464

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Solution

The third proportional to 403,480 and 565,464 is: 792,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,480 : 565,464 = 565,464 : x
  2. Step 2: Convert to fraction form
    403,480/565,464 = 565,464/x
  3. Step 3: Cross multiply
    403,480x = 565,464 × 565,464
  4. Step 4: Simplify right side
    403,480x = 319,749,535,296
  5. Step 5: Solve for x
    x = 319,749,535,296/403,480
  6. Step 6: Final answer
    x = 792,479.27

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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.