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Finding the Third Proportional to 274,656 and 424,428

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Solution

The third proportional to 274,656 and 424,428 is: 655,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,656 : 424,428 = 424,428 : x
  2. Step 2: Convert to fraction form
    274,656/424,428 = 424,428/x
  3. Step 3: Cross multiply
    274,656x = 424,428 × 424,428
  4. Step 4: Simplify right side
    274,656x = 180,139,127,184
  5. Step 5: Solve for x
    x = 180,139,127,184/274,656
  6. Step 6: Final answer
    x = 655,871.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.