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Finding the Third Proportional to 656,428 and 1,545,490

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Solution

The third proportional to 656,428 and 1,545,490 is: 3,638,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,428 : 1,545,490 = 1,545,490 : x
  2. Step 2: Convert to fraction form
    656,428/1,545,490 = 1,545,490/x
  3. Step 3: Cross multiply
    656,428x = 1,545,490 × 1,545,490
  4. Step 4: Simplify right side
    656,428x = 2,388,539,340,100
  5. Step 5: Solve for x
    x = 2,388,539,340,100/656,428
  6. Step 6: Final answer
    x = 3,638,692.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.