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Finding the Third Proportional to 310,428 and 492,372

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Solution

The third proportional to 310,428 and 492,372 is: 780,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,428 : 492,372 = 492,372 : x
  2. Step 2: Convert to fraction form
    310,428/492,372 = 492,372/x
  3. Step 3: Cross multiply
    310,428x = 492,372 × 492,372
  4. Step 4: Simplify right side
    310,428x = 242,430,186,384
  5. Step 5: Solve for x
    x = 242,430,186,384/310,428
  6. Step 6: Final answer
    x = 780,954.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.