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Finding the Third Proportional to 345,560 and 564,272

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Solution

The third proportional to 345,560 and 564,272 is: 921,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,560 : 564,272 = 564,272 : x
  2. Step 2: Convert to fraction form
    345,560/564,272 = 564,272/x
  3. Step 3: Cross multiply
    345,560x = 564,272 × 564,272
  4. Step 4: Simplify right side
    345,560x = 318,402,889,984
  5. Step 5: Solve for x
    x = 318,402,889,984/345,560
  6. Step 6: Final answer
    x = 921,411.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.