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Finding the Third Proportional to 316,981 and 465,768

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Solution

The third proportional to 316,981 and 465,768 is: 684,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,981 : 465,768 = 465,768 : x
  2. Step 2: Convert to fraction form
    316,981/465,768 = 465,768/x
  3. Step 3: Cross multiply
    316,981x = 465,768 × 465,768
  4. Step 4: Simplify right side
    316,981x = 216,939,829,824
  5. Step 5: Solve for x
    x = 216,939,829,824/316,981
  6. Step 6: Final answer
    x = 684,393.80

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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.