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Finding the Third Proportional to 284,386 and 429,602.75

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Solution

The third proportional to 284,386 and 429,602.75 is: 648,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,386 : 429,602.75 = 429,602.75 : x
  2. Step 2: Convert to fraction form
    284,386/429,602.75 = 429,602.75/x
  3. Step 3: Cross multiply
    284,386x = 429,602.75 × 429,602.75
  4. Step 4: Simplify right side
    284,386x = 184,558,522,807.56
  5. Step 5: Solve for x
    x = 184,558,522,807.56/284,386
  6. Step 6: Final answer
    x = 648,971.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.