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Finding the Third Proportional to 357,445 and 527,851

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Solution

The third proportional to 357,445 and 527,851 is: 779,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,445 : 527,851 = 527,851 : x
  2. Step 2: Convert to fraction form
    357,445/527,851 = 527,851/x
  3. Step 3: Cross multiply
    357,445x = 527,851 × 527,851
  4. Step 4: Simplify right side
    357,445x = 278,626,678,201
  5. Step 5: Solve for x
    x = 278,626,678,201/357,445
  6. Step 6: Final answer
    x = 779,495.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.