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Finding the Third Proportional to 316,071 and 669,312

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Solution

The third proportional to 316,071 and 669,312 is: 1,417,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,071 : 669,312 = 669,312 : x
  2. Step 2: Convert to fraction form
    316,071/669,312 = 669,312/x
  3. Step 3: Cross multiply
    316,071x = 669,312 × 669,312
  4. Step 4: Simplify right side
    316,071x = 447,978,553,344
  5. Step 5: Solve for x
    x = 447,978,553,344/316,071
  6. Step 6: Final answer
    x = 1,417,335.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.