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Finding the Third Proportional to 430,653 and 661,047

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Solution

The third proportional to 430,653 and 661,047 is: 1,014,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,653 : 661,047 = 661,047 : x
  2. Step 2: Convert to fraction form
    430,653/661,047 = 661,047/x
  3. Step 3: Cross multiply
    430,653x = 661,047 × 661,047
  4. Step 4: Simplify right side
    430,653x = 436,983,136,209
  5. Step 5: Solve for x
    x = 436,983,136,209/430,653
  6. Step 6: Final answer
    x = 1,014,698.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.