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Finding the Third Proportional to 448,681.50 and 678,363

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Solution

The third proportional to 448,681.50 and 678,363 is: 1,025,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,681.50 : 678,363 = 678,363 : x
  2. Step 2: Convert to fraction form
    448,681.50/678,363 = 678,363/x
  3. Step 3: Cross multiply
    448,681.50x = 678,363 × 678,363
  4. Step 4: Simplify right side
    448,681.50x = 460,176,359,769
  5. Step 5: Solve for x
    x = 460,176,359,769/448,681.50
  6. Step 6: Final answer
    x = 1,025,619.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.