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Finding the Third Proportional to 321,572 and 705,348

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Solution

The third proportional to 321,572 and 705,348 is: 1,547,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,572 : 705,348 = 705,348 : x
  2. Step 2: Convert to fraction form
    321,572/705,348 = 705,348/x
  3. Step 3: Cross multiply
    321,572x = 705,348 × 705,348
  4. Step 4: Simplify right side
    321,572x = 497,515,801,104
  5. Step 5: Solve for x
    x = 497,515,801,104/321,572
  6. Step 6: Final answer
    x = 1,547,136.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.