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Finding the Third Proportional to 210,547 and 323,628

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Solution

The third proportional to 210,547 and 323,628 is: 497,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,547 : 323,628 = 323,628 : x
  2. Step 2: Convert to fraction form
    210,547/323,628 = 323,628/x
  3. Step 3: Cross multiply
    210,547x = 323,628 × 323,628
  4. Step 4: Simplify right side
    210,547x = 104,735,082,384
  5. Step 5: Solve for x
    x = 104,735,082,384/210,547
  6. Step 6: Final answer
    x = 497,442.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.