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Finding the Third Proportional to 286,428 and 429,444

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Solution

The third proportional to 286,428 and 429,444 is: 643,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,428 : 429,444 = 429,444 : x
  2. Step 2: Convert to fraction form
    286,428/429,444 = 429,444/x
  3. Step 3: Cross multiply
    286,428x = 429,444 × 429,444
  4. Step 4: Simplify right side
    286,428x = 184,422,149,136
  5. Step 5: Solve for x
    x = 184,422,149,136/286,428
  6. Step 6: Final answer
    x = 643,869.14

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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.