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Finding the Third Proportional to 490,688 and 730,840

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Solution

The third proportional to 490,688 and 730,840 is: 1,088,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,688 : 730,840 = 730,840 : x
  2. Step 2: Convert to fraction form
    490,688/730,840 = 730,840/x
  3. Step 3: Cross multiply
    490,688x = 730,840 × 730,840
  4. Step 4: Simplify right side
    490,688x = 534,127,105,600
  5. Step 5: Solve for x
    x = 534,127,105,600/490,688
  6. Step 6: Final answer
    x = 1,088,526.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.