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Finding the Third Proportional to 235,430 and 358,585

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Solution

The third proportional to 235,430 and 358,585 is: 546,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,430 : 358,585 = 358,585 : x
  2. Step 2: Convert to fraction form
    235,430/358,585 = 358,585/x
  3. Step 3: Cross multiply
    235,430x = 358,585 × 358,585
  4. Step 4: Simplify right side
    235,430x = 128,583,202,225
  5. Step 5: Solve for x
    x = 128,583,202,225/235,430
  6. Step 6: Final answer
    x = 546,163.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.