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Finding the Third Proportional to 402,316 and 607,573

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Solution

The third proportional to 402,316 and 607,573 is: 917,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,316 : 607,573 = 607,573 : x
  2. Step 2: Convert to fraction form
    402,316/607,573 = 607,573/x
  3. Step 3: Cross multiply
    402,316x = 607,573 × 607,573
  4. Step 4: Simplify right side
    402,316x = 369,144,950,329
  5. Step 5: Solve for x
    x = 369,144,950,329/402,316
  6. Step 6: Final answer
    x = 917,549.76

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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.