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Finding the Third Proportional to 610,284 and 887,724

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Solution

The third proportional to 610,284 and 887,724 is: 1,291,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,284 : 887,724 = 887,724 : x
  2. Step 2: Convert to fraction form
    610,284/887,724 = 887,724/x
  3. Step 3: Cross multiply
    610,284x = 887,724 × 887,724
  4. Step 4: Simplify right side
    610,284x = 788,053,900,176
  5. Step 5: Solve for x
    x = 788,053,900,176/610,284
  6. Step 6: Final answer
    x = 1,291,290.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.