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Finding the Third Proportional to 510,547 and 847,955

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Solution

The third proportional to 510,547 and 847,955 is: 1,408,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,547 : 847,955 = 847,955 : x
  2. Step 2: Convert to fraction form
    510,547/847,955 = 847,955/x
  3. Step 3: Cross multiply
    510,547x = 847,955 × 847,955
  4. Step 4: Simplify right side
    510,547x = 719,027,682,025
  5. Step 5: Solve for x
    x = 719,027,682,025/510,547
  6. Step 6: Final answer
    x = 1,408,347.68

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.