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Finding the Third Proportional to 328,582 and 469,865

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Solution

The third proportional to 328,582 and 469,865 is: 671,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,582 : 469,865 = 469,865 : x
  2. Step 2: Convert to fraction form
    328,582/469,865 = 469,865/x
  3. Step 3: Cross multiply
    328,582x = 469,865 × 469,865
  4. Step 4: Simplify right side
    328,582x = 220,773,118,225
  5. Step 5: Solve for x
    x = 220,773,118,225/328,582
  6. Step 6: Final answer
    x = 671,896.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.