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Finding the Third Proportional to 403,416 and 624,630

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Solution

The third proportional to 403,416 and 624,630 is: 967,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,416 : 624,630 = 624,630 : x
  2. Step 2: Convert to fraction form
    403,416/624,630 = 624,630/x
  3. Step 3: Cross multiply
    403,416x = 624,630 × 624,630
  4. Step 4: Simplify right side
    403,416x = 390,162,636,900
  5. Step 5: Solve for x
    x = 390,162,636,900/403,416
  6. Step 6: Final answer
    x = 967,147.16

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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.