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Finding the Third Proportional to 243,324 and 358,668

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Solution

The third proportional to 243,324 and 358,668 is: 528,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,324 : 358,668 = 358,668 : x
  2. Step 2: Convert to fraction form
    243,324/358,668 = 358,668/x
  3. Step 3: Cross multiply
    243,324x = 358,668 × 358,668
  4. Step 4: Simplify right side
    243,324x = 128,642,734,224
  5. Step 5: Solve for x
    x = 128,642,734,224/243,324
  6. Step 6: Final answer
    x = 528,689.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.