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Finding the Third Proportional to 430,789.64 and 715,483.13

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Solution

The third proportional to 430,789.64 and 715,483.13 is: 1,188,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,789.64 : 715,483.13 = 715,483.13 : x
  2. Step 2: Convert to fraction form
    430,789.64/715,483.13 = 715,483.13/x
  3. Step 3: Cross multiply
    430,789.64x = 715,483.13 × 715,483.13
  4. Step 4: Simplify right side
    430,789.64x = 511,916,102,159.77
  5. Step 5: Solve for x
    x = 511,916,102,159.77/430,789.64
  6. Step 6: Final answer
    x = 1,188,320.36

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.