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Finding the Third Proportional to 124,386 and 268,428

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Solution

The third proportional to 124,386 and 268,428 is: 579,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,386 : 268,428 = 268,428 : x
  2. Step 2: Convert to fraction form
    124,386/268,428 = 268,428/x
  3. Step 3: Cross multiply
    124,386x = 268,428 × 268,428
  4. Step 4: Simplify right side
    124,386x = 72,053,591,184
  5. Step 5: Solve for x
    x = 72,053,591,184/124,386
  6. Step 6: Final answer
    x = 579,274.12

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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.