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Finding the Third Proportional to 287,266.50 and 432,139.50

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Solution

The third proportional to 287,266.50 and 432,139.50 is: 650,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,266.50 : 432,139.50 = 432,139.50 : x
  2. Step 2: Convert to fraction form
    287,266.50/432,139.50 = 432,139.50/x
  3. Step 3: Cross multiply
    287,266.50x = 432,139.50 × 432,139.50
  4. Step 4: Simplify right side
    287,266.50x = 186,744,547,460.25
  5. Step 5: Solve for x
    x = 186,744,547,460.25/287,266.50
  6. Step 6: Final answer
    x = 650,074.23

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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.