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Finding the Third Proportional to 402,310 and 607,564

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Solution

The third proportional to 402,310 and 607,564 is: 917,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,310 : 607,564 = 607,564 : x
  2. Step 2: Convert to fraction form
    402,310/607,564 = 607,564/x
  3. Step 3: Cross multiply
    402,310x = 607,564 × 607,564
  4. Step 4: Simplify right side
    402,310x = 369,134,014,096
  5. Step 5: Solve for x
    x = 369,134,014,096/402,310
  6. Step 6: Final answer
    x = 917,536.26

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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.