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Finding the Third Proportional to 478,785.61 and 711,395.57

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Solution

The third proportional to 478,785.61 and 711,395.57 is: 1,057,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,785.61 : 711,395.57 = 711,395.57 : x
  2. Step 2: Convert to fraction form
    478,785.61/711,395.57 = 711,395.57/x
  3. Step 3: Cross multiply
    478,785.61x = 711,395.57 × 711,395.57
  4. Step 4: Simplify right side
    478,785.61x = 506,083,652,162.98
  5. Step 5: Solve for x
    x = 506,083,652,162.98/478,785.61
  6. Step 6: Final answer
    x = 1,057,015.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.