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Finding the Third Proportional to 685,875 and 925,209

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Solution

The third proportional to 685,875 and 925,209 is: 1,248,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,875 : 925,209 = 925,209 : x
  2. Step 2: Convert to fraction form
    685,875/925,209 = 925,209/x
  3. Step 3: Cross multiply
    685,875x = 925,209 × 925,209
  4. Step 4: Simplify right side
    685,875x = 856,011,693,681
  5. Step 5: Solve for x
    x = 856,011,693,681/685,875
  6. Step 6: Final answer
    x = 1,248,057.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.