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Finding the Third Proportional to 429,132 and 630,560

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Solution

The third proportional to 429,132 and 630,560 is: 926,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,132 : 630,560 = 630,560 : x
  2. Step 2: Convert to fraction form
    429,132/630,560 = 630,560/x
  3. Step 3: Cross multiply
    429,132x = 630,560 × 630,560
  4. Step 4: Simplify right side
    429,132x = 397,605,913,600
  5. Step 5: Solve for x
    x = 397,605,913,600/429,132
  6. Step 6: Final answer
    x = 926,535.22

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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.