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Finding the Third Proportional to 402,316 and 607,576

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Solution

The third proportional to 402,316 and 607,576 is: 917,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,316 : 607,576 = 607,576 : x
  2. Step 2: Convert to fraction form
    402,316/607,576 = 607,576/x
  3. Step 3: Cross multiply
    402,316x = 607,576 × 607,576
  4. Step 4: Simplify right side
    402,316x = 369,148,595,776
  5. Step 5: Solve for x
    x = 369,148,595,776/402,316
  6. Step 6: Final answer
    x = 917,558.82

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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.