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Finding the Third Proportional to 278,502 and 406,017

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Solution

The third proportional to 278,502 and 406,017 is: 591,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,502 : 406,017 = 406,017 : x
  2. Step 2: Convert to fraction form
    278,502/406,017 = 406,017/x
  3. Step 3: Cross multiply
    278,502x = 406,017 × 406,017
  4. Step 4: Simplify right side
    278,502x = 164,849,804,289
  5. Step 5: Solve for x
    x = 164,849,804,289/278,502
  6. Step 6: Final answer
    x = 591,916.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.