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Finding the Third Proportional to 321,428 and 508,532

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Solution

The third proportional to 321,428 and 508,532 is: 804,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,428 : 508,532 = 508,532 : x
  2. Step 2: Convert to fraction form
    321,428/508,532 = 508,532/x
  3. Step 3: Cross multiply
    321,428x = 508,532 × 508,532
  4. Step 4: Simplify right side
    321,428x = 258,604,795,024
  5. Step 5: Solve for x
    x = 258,604,795,024/321,428
  6. Step 6: Final answer
    x = 804,549.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.