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Finding the Third Proportional to 715,480 and 1,489,712

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Solution

The third proportional to 715,480 and 1,489,712 is: 3,101,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,480 : 1,489,712 = 1,489,712 : x
  2. Step 2: Convert to fraction form
    715,480/1,489,712 = 1,489,712/x
  3. Step 3: Cross multiply
    715,480x = 1,489,712 × 1,489,712
  4. Step 4: Simplify right side
    715,480x = 2,219,241,842,944
  5. Step 5: Solve for x
    x = 2,219,241,842,944/715,480
  6. Step 6: Final answer
    x = 3,101,752.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.