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Finding the Third Proportional to 290,438 and 632,547

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Solution

The third proportional to 290,438 and 632,547 is: 1,377,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438 : 632,547 = 632,547 : x
  2. Step 2: Convert to fraction form
    290,438/632,547 = 632,547/x
  3. Step 3: Cross multiply
    290,438x = 632,547 × 632,547
  4. Step 4: Simplify right side
    290,438x = 400,115,707,209
  5. Step 5: Solve for x
    x = 400,115,707,209/290,438
  6. Step 6: Final answer
    x = 1,377,628.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.