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Finding the Third Proportional to 207,430 and 314,864

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Solution

The third proportional to 207,430 and 314,864 is: 477,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,430 : 314,864 = 314,864 : x
  2. Step 2: Convert to fraction form
    207,430/314,864 = 314,864/x
  3. Step 3: Cross multiply
    207,430x = 314,864 × 314,864
  4. Step 4: Simplify right side
    207,430x = 99,139,338,496
  5. Step 5: Solve for x
    x = 99,139,338,496/207,430
  6. Step 6: Final answer
    x = 477,941.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.