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Finding the Third Proportional to 238,428 and 515,574

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Solution

The third proportional to 238,428 and 515,574 is: 1,114,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,428 : 515,574 = 515,574 : x
  2. Step 2: Convert to fraction form
    238,428/515,574 = 515,574/x
  3. Step 3: Cross multiply
    238,428x = 515,574 × 515,574
  4. Step 4: Simplify right side
    238,428x = 265,816,549,476
  5. Step 5: Solve for x
    x = 265,816,549,476/238,428
  6. Step 6: Final answer
    x = 1,114,871.36

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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.