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Finding the Third Proportional to 287,365 and 435,037

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Solution

The third proportional to 287,365 and 435,037 is: 658,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,365 : 435,037 = 435,037 : x
  2. Step 2: Convert to fraction form
    287,365/435,037 = 435,037/x
  3. Step 3: Cross multiply
    287,365x = 435,037 × 435,037
  4. Step 4: Simplify right side
    287,365x = 189,257,191,369
  5. Step 5: Solve for x
    x = 189,257,191,369/287,365
  6. Step 6: Final answer
    x = 658,595.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.