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Finding the Third Proportional to 430,407 and 631,786.50

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Solution

The third proportional to 430,407 and 631,786.50 is: 927,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,407 : 631,786.50 = 631,786.50 : x
  2. Step 2: Convert to fraction form
    430,407/631,786.50 = 631,786.50/x
  3. Step 3: Cross multiply
    430,407x = 631,786.50 × 631,786.50
  4. Step 4: Simplify right side
    430,407x = 399,154,181,582.25
  5. Step 5: Solve for x
    x = 399,154,181,582.25/430,407
  6. Step 6: Final answer
    x = 927,387.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.