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Finding the Third Proportional to 243,327 and 358,672.50

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Solution

The third proportional to 243,327 and 358,672.50 is: 528,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,327 : 358,672.50 = 358,672.50 : x
  2. Step 2: Convert to fraction form
    243,327/358,672.50 = 358,672.50/x
  3. Step 3: Cross multiply
    243,327x = 358,672.50 × 358,672.50
  4. Step 4: Simplify right side
    243,327x = 128,645,962,256.25
  5. Step 5: Solve for x
    x = 128,645,962,256.25/243,327
  6. Step 6: Final answer
    x = 528,695.80

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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.