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Finding the Third Proportional to 310,859 and 472,364

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Solution

The third proportional to 310,859 and 472,364 is: 717,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,859 : 472,364 = 472,364 : x
  2. Step 2: Convert to fraction form
    310,859/472,364 = 472,364/x
  3. Step 3: Cross multiply
    310,859x = 472,364 × 472,364
  4. Step 4: Simplify right side
    310,859x = 223,127,748,496
  5. Step 5: Solve for x
    x = 223,127,748,496/310,859
  6. Step 6: Final answer
    x = 717,777.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.