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Finding the Third Proportional to 286,624 and 429,888

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Solution

The third proportional to 286,624 and 429,888 is: 644,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,624 : 429,888 = 429,888 : x
  2. Step 2: Convert to fraction form
    286,624/429,888 = 429,888/x
  3. Step 3: Cross multiply
    286,624x = 429,888 × 429,888
  4. Step 4: Simplify right side
    286,624x = 184,803,692,544
  5. Step 5: Solve for x
    x = 184,803,692,544/286,624
  6. Step 6: Final answer
    x = 644,760.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.