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Finding the Third Proportional to 429,129.56 and 630,557.16

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Solution

The third proportional to 429,129.56 and 630,557.16 is: 926,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,129.56 : 630,557.16 = 630,557.16 : x
  2. Step 2: Convert to fraction form
    429,129.56/630,557.16 = 630,557.16/x
  3. Step 3: Cross multiply
    429,129.56x = 630,557.16 × 630,557.16
  4. Step 4: Simplify right side
    429,129.56x = 397,602,327,298.09
  5. Step 5: Solve for x
    x = 397,602,327,298.09/429,129.56
  6. Step 6: Final answer
    x = 926,532.13

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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.