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Finding the Third Proportional to 314,368 and 687,376

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Solution

The third proportional to 314,368 and 687,376 is: 1,502,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,368 : 687,376 = 687,376 : x
  2. Step 2: Convert to fraction form
    314,368/687,376 = 687,376/x
  3. Step 3: Cross multiply
    314,368x = 687,376 × 687,376
  4. Step 4: Simplify right side
    314,368x = 472,485,765,376
  5. Step 5: Solve for x
    x = 472,485,765,376/314,368
  6. Step 6: Final answer
    x = 1,502,970.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.