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Finding the Third Proportional to 436,547 and 656,445

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Solution

The third proportional to 436,547 and 656,445 is: 987,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,547 : 656,445 = 656,445 : x
  2. Step 2: Convert to fraction form
    436,547/656,445 = 656,445/x
  3. Step 3: Cross multiply
    436,547x = 656,445 × 656,445
  4. Step 4: Simplify right side
    436,547x = 430,920,038,025
  5. Step 5: Solve for x
    x = 430,920,038,025/436,547
  6. Step 6: Final answer
    x = 987,110.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.