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Finding the Third Proportional to 523,126 and 740,428

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Solution

The third proportional to 523,126 and 740,428 is: 1,047,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,126 : 740,428 = 740,428 : x
  2. Step 2: Convert to fraction form
    523,126/740,428 = 740,428/x
  3. Step 3: Cross multiply
    523,126x = 740,428 × 740,428
  4. Step 4: Simplify right side
    523,126x = 548,233,623,184
  5. Step 5: Solve for x
    x = 548,233,623,184/523,126
  6. Step 6: Final answer
    x = 1,047,995.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.