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Finding the Third Proportional to 431,572 and 647,365

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Solution

The third proportional to 431,572 and 647,365 is: 971,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,572 : 647,365 = 647,365 : x
  2. Step 2: Convert to fraction form
    431,572/647,365 = 647,365/x
  3. Step 3: Cross multiply
    431,572x = 647,365 × 647,365
  4. Step 4: Simplify right side
    431,572x = 419,081,443,225
  5. Step 5: Solve for x
    x = 419,081,443,225/431,572
  6. Step 6: Final answer
    x = 971,058.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.