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Finding the Third Proportional to 556,014 and 920,289

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Solution

The third proportional to 556,014 and 920,289 is: 1,523,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,014 : 920,289 = 920,289 : x
  2. Step 2: Convert to fraction form
    556,014/920,289 = 920,289/x
  3. Step 3: Cross multiply
    556,014x = 920,289 × 920,289
  4. Step 4: Simplify right side
    556,014x = 846,931,843,521
  5. Step 5: Solve for x
    x = 846,931,843,521/556,014
  6. Step 6: Final answer
    x = 1,523,220.36

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.