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Finding the Third Proportional to 553,242,709 and 841,192,525

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Solution

The third proportional to 553,242,709 and 841,192,525 is: 1,279,013,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,242,709 : 841,192,525 = 841,192,525 : x
  2. Step 2: Convert to fraction form
    553,242,709/841,192,525 = 841,192,525/x
  3. Step 3: Cross multiply
    553,242,709x = 841,192,525 × 841,192,525
  4. Step 4: Simplify right side
    553,242,709x = 707,604,864,115,875,584
  5. Step 5: Solve for x
    x = 707,604,864,115,875,584/553,242,709
  6. Step 6: Final answer
    x = 1,279,013,446.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.