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Finding the Third Proportional to 286,854.75 and 607,779.28

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Solution

The third proportional to 286,854.75 and 607,779.28 is: 1,287,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,854.75 : 607,779.28 = 607,779.28 : x
  2. Step 2: Convert to fraction form
    286,854.75/607,779.28 = 607,779.28/x
  3. Step 3: Cross multiply
    286,854.75x = 607,779.28 × 607,779.28
  4. Step 4: Simplify right side
    286,854.75x = 369,395,654,716.77
  5. Step 5: Solve for x
    x = 369,395,654,716.77/286,854.75
  6. Step 6: Final answer
    x = 1,287,744.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.