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Finding the Third Proportional to 403,830 and 625,218

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Solution

The third proportional to 403,830 and 625,218 is: 967,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,830 : 625,218 = 625,218 : x
  2. Step 2: Convert to fraction form
    403,830/625,218 = 625,218/x
  3. Step 3: Cross multiply
    403,830x = 625,218 × 625,218
  4. Step 4: Simplify right side
    403,830x = 390,897,547,524
  5. Step 5: Solve for x
    x = 390,897,547,524/403,830
  6. Step 6: Final answer
    x = 967,975.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.