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Finding the Third Proportional to 512,595 and 776,547

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Solution

The third proportional to 512,595 and 776,547 is: 1,176,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,595 : 776,547 = 776,547 : x
  2. Step 2: Convert to fraction form
    512,595/776,547 = 776,547/x
  3. Step 3: Cross multiply
    512,595x = 776,547 × 776,547
  4. Step 4: Simplify right side
    512,595x = 603,025,243,209
  5. Step 5: Solve for x
    x = 603,025,243,209/512,595
  6. Step 6: Final answer
    x = 1,176,416.55

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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.