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Finding the Third Proportional to 478,366.13 and 689,254.13

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Solution

The third proportional to 478,366.13 and 689,254.13 is: 993,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,366.13 : 689,254.13 = 689,254.13 : x
  2. Step 2: Convert to fraction form
    478,366.13/689,254.13 = 689,254.13/x
  3. Step 3: Cross multiply
    478,366.13x = 689,254.13 × 689,254.13
  4. Step 4: Simplify right side
    478,366.13x = 475,071,248,829.52
  5. Step 5: Solve for x
    x = 475,071,248,829.52/478,366.13
  6. Step 6: Final answer
    x = 993,112.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.