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Finding the Third Proportional to 298,376 and 631,312

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Solution

The third proportional to 298,376 and 631,312 is: 1,335,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,376 : 631,312 = 631,312 : x
  2. Step 2: Convert to fraction form
    298,376/631,312 = 631,312/x
  3. Step 3: Cross multiply
    298,376x = 631,312 × 631,312
  4. Step 4: Simplify right side
    298,376x = 398,554,841,344
  5. Step 5: Solve for x
    x = 398,554,841,344/298,376
  6. Step 6: Final answer
    x = 1,335,746.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.