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Finding the Third Proportional to 528,656.63 and 851,214.45

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Solution

The third proportional to 528,656.63 and 851,214.45 is: 1,370,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,656.63 : 851,214.45 = 851,214.45 : x
  2. Step 2: Convert to fraction form
    528,656.63/851,214.45 = 851,214.45/x
  3. Step 3: Cross multiply
    528,656.63x = 851,214.45 × 851,214.45
  4. Step 4: Simplify right side
    528,656.63x = 724,566,031,908.67
  5. Step 5: Solve for x
    x = 724,566,031,908.67/528,656.63
  6. Step 6: Final answer
    x = 1,370,579.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.