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Finding the Third Proportional to 286,301 and 420,703

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Solution

The third proportional to 286,301 and 420,703 is: 618,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,301 : 420,703 = 420,703 : x
  2. Step 2: Convert to fraction form
    286,301/420,703 = 420,703/x
  3. Step 3: Cross multiply
    286,301x = 420,703 × 420,703
  4. Step 4: Simplify right side
    286,301x = 176,991,014,209
  5. Step 5: Solve for x
    x = 176,991,014,209/286,301
  6. Step 6: Final answer
    x = 618,199.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.