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Finding the Third Proportional to 390,445 and 855,673.50

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Solution

The third proportional to 390,445 and 855,673.50 is: 1,875,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,445 : 855,673.50 = 855,673.50 : x
  2. Step 2: Convert to fraction form
    390,445/855,673.50 = 855,673.50/x
  3. Step 3: Cross multiply
    390,445x = 855,673.50 × 855,673.50
  4. Step 4: Simplify right side
    390,445x = 732,177,138,602.25
  5. Step 5: Solve for x
    x = 732,177,138,602.25/390,445
  6. Step 6: Final answer
    x = 1,875,237.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.