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Finding the Third Proportional to 476,712 and 699,484

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Solution

The third proportional to 476,712 and 699,484 is: 1,026,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,712 : 699,484 = 699,484 : x
  2. Step 2: Convert to fraction form
    476,712/699,484 = 699,484/x
  3. Step 3: Cross multiply
    476,712x = 699,484 × 699,484
  4. Step 4: Simplify right side
    476,712x = 489,277,866,256
  5. Step 5: Solve for x
    x = 489,277,866,256/476,712
  6. Step 6: Final answer
    x = 1,026,359.45

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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.