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Finding the Third Proportional to 977,169,428 and 2,129,920,930

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Solution

The third proportional to 977,169,428 and 2,129,920,930 is: 4,642,555,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,169,428 : 2,129,920,930 = 2,129,920,930 : x
  2. Step 2: Convert to fraction form
    977,169,428/2,129,920,930 = 2,129,920,930/x
  3. Step 3: Cross multiply
    977,169,428x = 2,129,920,930 × 2,129,920,930
  4. Step 4: Simplify right side
    977,169,428x = 4,536,563,168,052,064,768
  5. Step 5: Solve for x
    x = 4,536,563,168,052,064,768/977,169,428
  6. Step 6: Final answer
    x = 4,642,555,362.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.