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Finding the Third Proportional to 235,820 and 508,985

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Solution

The third proportional to 235,820 and 508,985 is: 1,098,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,820 : 508,985 = 508,985 : x
  2. Step 2: Convert to fraction form
    235,820/508,985 = 508,985/x
  3. Step 3: Cross multiply
    235,820x = 508,985 × 508,985
  4. Step 4: Simplify right side
    235,820x = 259,065,730,225
  5. Step 5: Solve for x
    x = 259,065,730,225/235,820
  6. Step 6: Final answer
    x = 1,098,574.04

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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.