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Finding the Third Proportional to 475,895 and 687,585

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Solution

The third proportional to 475,895 and 687,585 is: 993,440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,895 : 687,585 = 687,585 : x
  2. Step 2: Convert to fraction form
    475,895/687,585 = 687,585/x
  3. Step 3: Cross multiply
    475,895x = 687,585 × 687,585
  4. Step 4: Simplify right side
    475,895x = 472,773,132,225
  5. Step 5: Solve for x
    x = 472,773,132,225/475,895
  6. Step 6: Final answer
    x = 993,440.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.