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Finding the Third Proportional to 336,098 and 520,428

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Solution

The third proportional to 336,098 and 520,428 is: 805,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,098 : 520,428 = 520,428 : x
  2. Step 2: Convert to fraction form
    336,098/520,428 = 520,428/x
  3. Step 3: Cross multiply
    336,098x = 520,428 × 520,428
  4. Step 4: Simplify right side
    336,098x = 270,845,303,184
  5. Step 5: Solve for x
    x = 270,845,303,184/336,098
  6. Step 6: Final answer
    x = 805,852.17

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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.