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Finding the Third Proportional to 314,316 and 678,472

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Solution

The third proportional to 314,316 and 678,472 is: 1,464,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,316 : 678,472 = 678,472 : x
  2. Step 2: Convert to fraction form
    314,316/678,472 = 678,472/x
  3. Step 3: Cross multiply
    314,316x = 678,472 × 678,472
  4. Step 4: Simplify right side
    314,316x = 460,324,254,784
  5. Step 5: Solve for x
    x = 460,324,254,784/314,316
  6. Step 6: Final answer
    x = 1,464,526.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.