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Finding the Third Proportional to 314,292 and 678,792

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Solution

The third proportional to 314,292 and 678,792 is: 1,466,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,292 : 678,792 = 678,792 : x
  2. Step 2: Convert to fraction form
    314,292/678,792 = 678,792/x
  3. Step 3: Cross multiply
    314,292x = 678,792 × 678,792
  4. Step 4: Simplify right side
    314,292x = 460,758,579,264
  5. Step 5: Solve for x
    x = 460,758,579,264/314,292
  6. Step 6: Final answer
    x = 1,466,020.70

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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.