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Finding the Third Proportional to 322,480 and 671,428

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Solution

The third proportional to 322,480 and 671,428 is: 1,397,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,480 : 671,428 = 671,428 : x
  2. Step 2: Convert to fraction form
    322,480/671,428 = 671,428/x
  3. Step 3: Cross multiply
    322,480x = 671,428 × 671,428
  4. Step 4: Simplify right side
    322,480x = 450,815,559,184
  5. Step 5: Solve for x
    x = 450,815,559,184/322,480
  6. Step 6: Final answer
    x = 1,397,964.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.