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Finding the Third Proportional to 489,464 and 716,484

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Solution

The third proportional to 489,464 and 716,484 is: 1,048,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,464 : 716,484 = 716,484 : x
  2. Step 2: Convert to fraction form
    489,464/716,484 = 716,484/x
  3. Step 3: Cross multiply
    489,464x = 716,484 × 716,484
  4. Step 4: Simplify right side
    489,464x = 513,349,322,256
  5. Step 5: Solve for x
    x = 513,349,322,256/489,464
  6. Step 6: Final answer
    x = 1,048,798.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.