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Finding the Third Proportional to 292,065 and 426,609

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Solution

The third proportional to 292,065 and 426,609 is: 623,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,065 : 426,609 = 426,609 : x
  2. Step 2: Convert to fraction form
    292,065/426,609 = 426,609/x
  3. Step 3: Cross multiply
    292,065x = 426,609 × 426,609
  4. Step 4: Simplify right side
    292,065x = 181,995,238,881
  5. Step 5: Solve for x
    x = 181,995,238,881/292,065
  6. Step 6: Final answer
    x = 623,132.65

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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.