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Finding the Third Proportional to 402,364 and 607,646

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Solution

The third proportional to 402,364 and 607,646 is: 917,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,364 : 607,646 = 607,646 : x
  2. Step 2: Convert to fraction form
    402,364/607,646 = 607,646/x
  3. Step 3: Cross multiply
    402,364x = 607,646 × 607,646
  4. Step 4: Simplify right side
    402,364x = 369,233,661,316
  5. Step 5: Solve for x
    x = 369,233,661,316/402,364
  6. Step 6: Final answer
    x = 917,660.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.