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Finding the Third Proportional to 210,748 and 497,480

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Solution

The third proportional to 210,748 and 497,480 is: 1,174,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,748 : 497,480 = 497,480 : x
  2. Step 2: Convert to fraction form
    210,748/497,480 = 497,480/x
  3. Step 3: Cross multiply
    210,748x = 497,480 × 497,480
  4. Step 4: Simplify right side
    210,748x = 247,486,350,400
  5. Step 5: Solve for x
    x = 247,486,350,400/210,748
  6. Step 6: Final answer
    x = 1,174,323.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.