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Finding the Third Proportional to 179,462,480 and 390,417,760

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Solution

The third proportional to 179,462,480 and 390,417,760 is: 849,347,603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,462,480 : 390,417,760 = 390,417,760 : x
  2. Step 2: Convert to fraction form
    179,462,480/390,417,760 = 390,417,760/x
  3. Step 3: Cross multiply
    179,462,480x = 390,417,760 × 390,417,760
  4. Step 4: Simplify right side
    179,462,480x = 152,426,027,323,417,600
  5. Step 5: Solve for x
    x = 152,426,027,323,417,600/179,462,480
  6. Step 6: Final answer
    x = 849,347,603.60

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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.